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A246255 Number of permutations of [n] with exactly ten occurrences of the consecutive step pattern up, down, down. 2

%I #10 Aug 26 2014 17:07:12

%S 62671742039942099631403299,18231157381733294406542318214,

%T 3087040831300287487055787449994,394974982016287093640971012693311,

%U 42334746925643499979072751981842422,4013581941216432516413056735995683706,347925850343780865770905714211197525182

%N Number of permutations of [n] with exactly ten occurrences of the consecutive step pattern up, down, down.

%H Alois P. Heinz, <a href="/A246255/b246255.txt">Table of n, a(n) for n = 31..160</a>

%F 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

%Y Column k=10 of A242819.

%K nonn

%O 31,1

%A _Alois P. Heinz_, Aug 20 2014

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Last modified August 24 06:08 EDT 2024. Contains 375409 sequences. (Running on oeis4.)