{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T17:15:29Z","timestamp":1776446129214,"version":"3.51.2"},"reference-count":33,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[1980,1,1]],"date-time":"1980-01-01T00:00:00Z","timestamp":315532800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":12251,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Mathematics"],"published-print":{"date-parts":[[1980]]},"DOI":"10.1016\/0012-365x(80)90050-3","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T03:33:13Z","timestamp":1027654393000},"page":"125-161","source":"Crossref","is-referenced-by-count":250,"title":["Combinatorial aspects of continued fractions"],"prefix":"10.1016","volume":"32","author":[{"given":"P.","family":"Flajolet","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0012-365X(80)90050-3_BIB1","series-title":"Graph Theory and Computing","first-page":"15","article-title":"The average height of planted plane trees","author":"de Bruijn","year":"1972"},{"key":"10.1016\/0012-365X(80)90050-3_BIB2","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1137\/1006003","article-title":"A binomial identity arising from a sorting problem","volume":"6","author":"Carlitz","year":"1964","journal-title":"SIAM Rev."},{"key":"10.1016\/0012-365X(80)90050-3_BIB3","series-title":"Eulerian Series and Applications","article-title":"q-analog of the Lagrange expansion","author":"Carlitz","year":"1974"},{"key":"10.1016\/0012-365X(80)90050-3_BIB4","series-title":"An Introduction to Orthogonal Polynomials","author":"Chihara","year":"1978"},{"key":"10.1016\/0012-365X(80)90050-3_BIB5","volume":"Vol. 2","author":"Comtet","year":"1970"},{"key":"10.1016\/0012-365X(80)90050-3_BIB6","article-title":"Un code pour les graphes planaires et ses applications","volume":"27","author":"Cori","year":"1975","journal-title":"Ast\u00e9risque"},{"key":"10.1016\/0012-365X(80)90050-3_BIB7","article-title":"Une nouvelle interpr\u00e9tation combinatoire des nombres tangents","author":"Dumont","year":"1976","journal-title":"5-th Hungarian Conference on Combinatoircs, Keszthely"},{"key":"10.1016\/0012-365X(80)90050-3_BIB8","volume":"Vol. A","author":"Eilenberg","year":"1974"},{"key":"10.1016\/0012-365X(80)90050-3_BIB9","article-title":"Analyse d'algorithmes de manipulation de fichiers","author":"Flajolet","year":"1978","journal-title":"Rapport IRIA"},{"key":"10.1016\/0012-365X(80)90050-3_BIB10","unstructured":"P. Flajolet, J. Fran\u00e7on and J. Vuillemin, Analysis of data structures under sequences of operations (in preparation)."},{"key":"10.1016\/0012-365X(80)90050-3_BIB11","article-title":"Th\u00e9orie G\u00e9om\u00e9trique des polyn\u00f4mes Euleriens","volume":"Vol. 138","author":"Foata","year":"1970"},{"key":"10.1016\/0012-365X(80)90050-3_BIB12","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1051\/ita\/1978120100491","article-title":"Histoires de Fichiers","volume":"12","author":"Fran\u00e7on","year":"1978","journal-title":"RAIRO Inf. Th."},{"key":"10.1016\/0012-365X(80)90050-3_BIB13","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/0012-365X(79)90182-1","article-title":"Permutations selon les pics, creux, doubles mont\u00e9es, doubles descentes, nombres d'Euler et nombres de Genocchi","volume":"28","author":"Fran\u00e7on","year":"1979","journal-title":"Discrete Math."},{"key":"10.1016\/0012-365X(80)90050-3_BIB14","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/0097-3165(78)90080-8","article-title":"Some results on \u201cProduct-weighted lead codes\u201d","volume":"25","author":"Jackson","year":"1978","journal-title":"J. Combinatorial Theory (Ser. A)"},{"key":"10.1016\/0012-365X(80)90050-3_BIB15","volume":"Vol. 1","author":"Knuth","year":"1968"},{"key":"10.1016\/0012-365X(80)90050-3_BIB16","article-title":"Sur une classe de probl\u00e8mes de d\u00e9nombrement li\u00e9s au treillis de partition des entiers","volume":"6","author":"Kreweras","year":"1965","journal-title":"Cahiers du B.U.R.O."},{"key":"10.1016\/0012-365X(80)90050-3_BIB17","first-page":"1","article-title":"Sur les \u00e9ventails de segments","volume":"15","author":"Kreweras","year":"1970","journal-title":"Cahiers du B.U.R.O."},{"key":"10.1016\/0012-365X(80)90050-3_BIB18","doi-asserted-by":"crossref","first-page":"6","DOI":"10.1112\/jlms\/s1-9.1.6","article-title":"Orthogonale Polynomsysteme mit einem besonderen Gestalt der erzeugenden Funktion","volume":"9","author":"Meixner","year":"1934","journal-title":"J. Lond. Math. Soc."},{"key":"10.1016\/0012-365X(80)90050-3_BIB19","volume":"Vol. 2","author":"Perron","year":"1954"},{"key":"10.1016\/0012-365X(80)90050-3_BIB20","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1090\/S0002-9947-1960-0114765-9","article-title":"Functional composition patterns and power series reversion","volume":"94","author":"Raney","year":"1960","journal-title":"Trans. Am. Math. Soc."},{"key":"10.1016\/0012-365X(80)90050-3_BIB21","series-title":"An Introduction to Combinatorial Analysis","author":"Riordan","year":"1958"},{"key":"10.1016\/0012-365X(80)90050-3_BIB22","series-title":"Combinatorial Identities","author":"Riordan","year":"1968"},{"issue":"2","key":"10.1016\/0012-365X(80)90050-3_BIB23","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1112\/plms\/s2-4.1.72","article-title":"On the representation of certain asymptotic series as continued fractions","volume":"4","author":"Rogers","year":"1907","journal-title":"Proc. Lond. Math. Soc."},{"key":"10.1016\/0012-365X(80)90050-3_BIB24","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1016\/0097-3165(76)90035-2","article-title":"The number of product-weighted lead codes for ballots and its relation to the Ursell function of the linear Ising model","volume":"20","author":"Rosen","year":"1976","journal-title":"J. Combinatorial Theory (Ser. A)"},{"key":"10.1016\/0012-365X(80)90050-3_BIB25","doi-asserted-by":"crossref","first-page":"246","DOI":"10.1016\/S0019-9958(63)90306-1","article-title":"On context-free languages and pushdown automata","volume":"6","author":"Sch\u00fctzenberger","year":"1963","journal-title":"Inf. and Control"},{"key":"10.1016\/0012-365X(80)90050-3_BIB26","doi-asserted-by":"crossref","first-page":"1","DOI":"10.5802\/afst.34","article-title":"Sur la r\u00e9duction en fraction continue d'une s\u00e9rie proc\u00e9dant suivant les puissances descendantes d'une variable","volume":"3","author":"Stieltjes","year":"1889","journal-title":"Ann. Fac. Sc. Toulouse"},{"key":"10.1016\/0012-365X(80)90050-3_BIB27","doi-asserted-by":"crossref","first-page":"238","DOI":"10.1016\/0097-3165(78)90010-9","article-title":"Enumeration of alternating permutations according to peak sets","volume":"24","author":"Strehl","year":"1978","journal-title":"J. Combinatorial Theory (Ser. A)"},{"key":"10.1016\/0012-365X(80)90050-3_BIB28","doi-asserted-by":"crossref","first-page":"2","DOI":"10.4153\/CJM-1952-001-8","article-title":"Sur un probl\u00e8me de configurations et sur les fractions continues","volume":"4","author":"Touchard","year":"1952","journal-title":"Canad. J. Math."},{"key":"10.1016\/0012-365X(80)90050-3_BIB29","unstructured":"G. Viennot, Une interpr\u00e9tation combinatoire des d\u00e9velopements en s\u00e9rie enti\u00e8re des fonctions elliptiques de Jacobi (to appear)."},{"key":"10.1016\/0012-365X(80)90050-3_BIB30","series-title":"Analytic Theory of Continued Fractions","author":"Wall","year":"1967"},{"key":"10.1016\/0012-365X(80)90050-3_BIB31","series-title":"A Course of Modern Analysis","author":"Whittaker","year":"1927"},{"key":"10.1016\/0012-365X(80)90050-3_BIB32","doi-asserted-by":"crossref","first-page":"444","DOI":"10.1111\/j.1749-6632.1979.tb32822.x","article-title":"The chord intersection problem","volume":"319","author":"Read","year":"1979","journal-title":"Annals of New-York Ac. of Sc."},{"key":"10.1016\/0012-365X(80)90050-3_BIB33","article-title":"Analyse d'algorithmes de manipulation d'arbres et de fichiers","author":"Flajolet","year":"1979","journal-title":"Th\u00e8se, Fac. Sc. Orsay"}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X80900503?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X80900503?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,13]],"date-time":"2019-04-13T11:25:32Z","timestamp":1555154732000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0012365X80900503"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1980]]},"references-count":33,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1980]]}},"alternative-id":["0012365X80900503"],"URL":"https:\/\/doi.org\/10.1016\/0012-365x(80)90050-3","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1980]]}}}