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A268843 Number of sequences with n copies each of 1,2,...,7 and longest increasing subsequence of length 7. 3
1, 6439075, 11260558754404, 12084070123028603391, 10162884447920460534301136, 7465237877942551321425443305798, 5078529731893937404909347067888886466, 3315159778348807570604149155371730111763599, 2124172213523649116114190361767338538457819064671 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Vaclav Kotesovec and Alois P. Heinz, Table of n, a(n) for n = 1..100 (terms n=1..36 from Vaclav Kotesovec)

J. D. Horton and A. Kurn, Counting sequences with complete increasing subsequences, Congressus Numerantium, 33 (1981), 75-80. MR 681905

FORMULA

a(n) ~ 7^(7*n + 1/2) / (2*Pi*n)^3. - Vaclav Kotesovec, Feb 21 2016

CROSSREFS

Column k=7 of A047909.

Sequence in context: A234758 A295481 A297327 * A254174 A254167 A254456

Adjacent sequences:  A268840 A268841 A268842 * A268844 A268845 A268846

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Feb 14 2016

STATUS

approved

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Last modified January 23 03:15 EST 2022. Contains 350504 sequences. (Running on oeis4.)