Some Canonical Sequences of Integers

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dc.creatorBernstein, Mira
dc.creatorSloane, N. J. A.
dc.date2002-05-28
dc.date.accessioned2026-07-07T08:18:09Z
dc.date.available2026-07-07T08:18:09Z
dc.descriptionExtending earlier work of R. Donaghey and P. J. Cameron, we investigate some canonical "eigen-sequences" associated with transformations of integer sequences. Several known sequences appear in a new setting: for instance the sequences (such as 1, 3, 11, 49, 257, 1531, ...) studied by T. Tsuzuku, H. O. Foulkes and A. Kerber in connection with multiply transitive groups are eigen-sequences for the binomial transform. Many interesting new sequences also arise, such as 1, 1, 2, 26, 152, 1144, ..., which shifts one place left when transformed by the Stirling numbers of the second kind, and whose exponential generating function satisfies A'(x) = A(e^x -1) + 1.
dc.description18 pages, 2 figures; Dedicated to Professor J. J. Seidel
dc.identifierhttps://arxiv.org/abs/math/0205301
dc.identifierhttp://arxiv.org/abs/math/0205301
dc.identifierLinear Algebra and its Applications, Vol. 226-228 (1995), pp. 57-72; errata Vol. 320 (2000), p. 210
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134334
dc.subjectCombinatorics
dc.subjectInformation Theory
dc.subject05Axx; 11Bxx
dc.titleSome Canonical Sequences of Integers
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