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A116956 Number of functions f:{1,2,...,n}->{1,2,...,n} with odd cycles only. +0
1
1, 1, 3, 18, 157, 1800, 25551, 432376, 8494809, 190029888, 4768313275, 132626098176, 4049755214517, 134677876657792, 4845193429684167, 187490897290080000, 7765153170076158001, 342721890859339812864 (list; graph; listen)
OFFSET

0,3

FORMULA

E.g.f.: sqrt((1-LambertW(-x))/(1+LambertW(-x))).

Sum_{k=0..n} binomial(n,k)*a(k)*a(n-k) = 2*n^n, n>0. - Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 11 2007

CROSSREFS

Cf. A070896, A060281, A060435, A070896.

Sequence in context: A107888 A138274 A060913 this_sequence A166887 A075678 A089901

Adjacent sequences: A116953 A116954 A116955 this_sequence A116957 A116958 A116959

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 30 2006

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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