{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T10:47:42Z","timestamp":1773398862805,"version":"3.50.1"},"reference-count":21,"publisher":"Elsevier BV","issue":"1","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)90061-8","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T03:33:13Z","timestamp":1027654393000},"page":"3-49","source":"Crossref","is-referenced-by-count":19,"title":["Eulerian numbers, Newcomb's problem and representations of symmetric groups"],"prefix":"10.1016","volume":"30","author":[{"given":"H.O.","family":"Foulkes","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0012-365X(80)90061-8_BIB1","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1016\/0097-3165(75)90014-X","article-title":"A simple solution of Simon Newcomb's problem","volume":"18","author":"Abramson","year":"1975","journal-title":"J. Combinatorial Theory (A)"},{"key":"10.1016\/0012-365X(80)90061-8_BIB2","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1214\/aoms\/1177700286","article-title":"Some aspects of the random sequence","volume":"36","author":"Barton","year":"1965","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/0012-365X(80)90061-8_BIB3","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1215\/S0012-7094-72-03932-4","article-title":"Enumeration of sequences by rises and falls; a refinement of the Simon Newcomb problem","volume":"39","author":"Carlitz","year":"1972","journal-title":"Duke Math. J."},{"key":"10.1016\/0012-365X(80)90061-8_BIB4","series-title":"Advanced Combinatorics","author":"Comtet","year":"1974"},{"key":"10.1016\/0012-365X(80)90061-8_BIB5","doi-asserted-by":"crossref","first-page":"1086","DOI":"10.1137\/0117099","article-title":"Simon Newcomb's problem","volume":"17","author":"Dillon","year":"1969","journal-title":"SIAM J. Applied Math."},{"key":"10.1016\/0012-365X(80)90061-8_BIB6","series-title":"S\u00e9minaire de Math\u00e9matiques Sup\u00e9rieures","article-title":"La s\u00e9rie g\u00e9n\u00e9ratrice exponentielle dans les probl\u00e8mes d'\u00e9num\u00e9ration","author":"Foata","year":"1974"},{"key":"10.1016\/0012-365X(80)90061-8_BIB7","series-title":"Institute of Statistics Mimeo Series No. 974","article-title":"Studies in enumeration","author":"Foata","year":"1975"},{"key":"10.1016\/0012-365X(80)90061-8_BIB8","series-title":"Lecture Notes in Mathematics, No. 138","article-title":"Th\u00e9orie G\u00e9om\u00e9trique des Polyn\u00f4mes Eul\u00e9riens","author":"Foata","year":"1970"},{"key":"10.1016\/0012-365X(80)90061-8_BIB9","doi-asserted-by":"crossref","first-page":"136","DOI":"10.1112\/jlms\/s1-24.2.136","article-title":"Differential operators associated with S-functions","volume":"24","author":"Foulkes","year":"1949","journal-title":"J. Lond. Math. Soc."},{"key":"10.1016\/0012-365X(80)90061-8_BIB10","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1016\/0012-365X(74)90083-1","article-title":"Paths in ordered structures of partitions","volume":"9","author":"Foulkes","year":"1974","journal-title":"Discrete Math."},{"key":"10.1016\/0012-365X(80)90061-8_BIB11","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/0012-365X(76)90028-5","article-title":"Enumeration of permutations with prescribed up-down and inversion sequences","volume":"15","author":"Foulkes","year":"1976","journal-title":"Discrete Math."},{"key":"10.1016\/0012-365X(80)90061-8_BIB12","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1016\/0012-365X(76)90045-5","article-title":"Tangent and secant numbers and representations of symmetric groups","volume":"15","author":"Foulkes","year":"1976","journal-title":"Discrete Math."},{"key":"10.1016\/0012-365X(80)90061-8_BIB13","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/0097-3165(77)90055-3","article-title":"A non-recursive combinatorial rule for Eulerian numbers","volume":"22","author":"Foulkes","year":"1977","journal-title":"J. Combinatorial Theory, Ser. A"},{"key":"10.1016\/0012-365X(80)90061-8_BIB14","doi-asserted-by":"crossref","first-page":"176","DOI":"10.1016\/0097-3165(77)90038-3","article-title":"A characterization of permutations via skew-hooks","volume":"23","author":"Grosner","year":"1977","journal-title":"J. Combinatorial Theory, Ser. A"},{"key":"10.1016\/0012-365X(80)90061-8_BIB15","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1515\/crll.1882.93.89","article-title":"\u00dcber den Zusammenhang zwischen einigen Formen von symmetrischen Functionen","volume":"93","author":"Kostka","year":"1882","journal-title":"J. Reine Angew. Math."},{"key":"10.1016\/0012-365X(80)90061-8_BIB16","article-title":"Tafeln f\u00fcr symmetrische Funktionen bis zur elften Dimension, mit kurzen Erl\u00e4uterungen","author":"Kostka","year":"1908","journal-title":"Sch. Progr."},{"key":"10.1016\/0012-365X(80)90061-8_BIB17","first-page":"23","article-title":"Traitement simultan\u00e9 du Probl\u00e8me de Young et du Probl\u00e8me de Simon Newcomb","volume":"10","author":"Kreweras","year":"1967","journal-title":"Cahiers Bur. Univ. Recherche Op\u00e9r"},{"key":"10.1016\/0012-365X(80)90061-8_BIB18","series-title":"The Theory of Group Characters and Matrix Representations of Groups","author":"Littlewood","year":"1950"},{"key":"10.1016\/0012-365X(80)90061-8_BIB19","volume":"Vol. 1","author":"MacMahon","year":"1915"},{"key":"10.1016\/0012-365X(80)90061-8_BIB20","series-title":"An Introduction to Combinatorial Analysis","author":"Riordan","year":"1958"},{"key":"10.1016\/0012-365X(80)90061-8_BIB21","doi-asserted-by":"crossref","first-page":"220","DOI":"10.1016\/0021-8693(68)90022-7","article-title":"A decomposition of the Group Algebra of a finite Coxeter group","volume":"9","author":"Solomon","year":"1968","journal-title":"J. Algebra"}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X80900618?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X80900618?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2023,4,18]],"date-time":"2023-04-18T14:33:28Z","timestamp":1681828408000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0012365X80900618"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1980]]},"references-count":21,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1980]]}},"alternative-id":["0012365X80900618"],"URL":"https:\/\/doi.org\/10.1016\/0012-365x(80)90061-8","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1980]]}}}