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A246255 Number of permutations of [n] with exactly ten occurrences of the consecutive step pattern up, down, down. 2
62671742039942099631403299, 18231157381733294406542318214, 3087040831300287487055787449994, 394974982016287093640971012693311, 42334746925643499979072751981842422, 4013581941216432516413056735995683706, 347925850343780865770905714211197525182 (list; graph; refs; listen; history; text; internal format)
OFFSET

31,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 31..160

FORMULA

a(n) ~  c * (3*sqrt(3)/(2*Pi))^n * n! * n^10, where c = 0.00000000000652802483581788974... = c0 * (c0-1)^10 / (3^10 * 10!), and c0 = (1 + exp(Pi/sqrt(3))) * sqrt(3) / (2*Pi). - Vaclav Kotesovec, Aug 26 2014

CROSSREFS

Column k=10 of A242819.

Sequence in context: A324208 A281907 A246288 * A338609 A338958 A338954

Adjacent sequences:  A246252 A246253 A246254 * A246256 A246257 A246258

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 20 2014

STATUS

approved

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Last modified July 28 16:47 EDT 2021. Contains 346335 sequences. (Running on oeis4.)