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A246250
Number of permutations of [n] with exactly five occurrences of the consecutive step pattern up, down, down.
2
1620265923, 142031290158, 8039798211078, 366995453376294, 14827018289073804, 555488440936519572, 19848769453749875607, 688735406876831016606, 23495176763112174568146, 794853120296757717355104, 26836227616917587293450368, 908479209956520414451380624
OFFSET
16,1
LINKS
FORMULA
a(n) ~ c * (3*sqrt(3)/(2*Pi))^n * n! * n^5, where c = 0.00005687732922585807984... = c0 * (c0-1)^5 / (3^5 * 5!), and c0 = (1 + exp(Pi/sqrt(3))) * sqrt(3) / (2*Pi). - Vaclav Kotesovec, Aug 26 2014
CROSSREFS
Column k=5 of A242819.
Sequence in context: A166383 A227444 A329463 * A373001 A126432 A186175
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Aug 20 2014
STATUS
approved