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A246253
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Number of permutations of [n] with exactly eight occurrences of the consecutive step pattern up, down, down.
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2
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4736552519729393091, 925712659777722254622, 108450427756505074280046, 9790367872313042801164557, 752566904329661335915465770, 51895294413875186427307822050, 3313685917841456847408819072255, 200074814234955942882986408262750, 11591748407639299505418556743604770
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OFFSET
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25,1
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LINKS
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FORMULA
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a(n) ~ c * (3*sqrt(3)/(2*Pi))^n * n! * n^8, where c = 0.00000000566049683079281633... = c0 * (c0-1)^8 / (3^8 * 8!), and c0 = (1 + exp(Pi/sqrt(3))) * sqrt(3) / (2*Pi). - Vaclav Kotesovec, Aug 26 2014
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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