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A081126 Binomial transform of n!/floor(n/2)!. +0
2
1, 2, 5, 16, 53, 206, 817, 3620, 16361, 80218, 401501, 2139512, 11641885, 66599846, 388962953, 2367284236, 14700573137, 94523836850, 619674301621, 4186249123808, 28809504493061, 203556335785342, 1463877667140065 (list; graph; listen)
OFFSET

0,2

COMMENT

Row sums of exponential Riordan array [(1+x),x(1+x)]. - Paul Barry (pbarry(AT)wit.ie), Apr 17 2007

FORMULA

a(n) =Sum {k=0..n, C(n, k)*n!/floor(n/2)!}

E.g.f.: (1+x)*exp(x+x^2). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Aug 06 2006

a(n)=Sum{k=0..n, C(n,k)*k!/floor(k/2)!}; a(n)=sum{k=0..n, C(k+1,n-k)*n!/k!}. - Paul Barry (pbarry(AT)wit.ie), Apr 17 2007

CROSSREFS

Cf. A018191, A081125.

Sequence in context: A108521 A100442 A018191 this_sequence A006191 A120899 A141754

Adjacent sequences: A081123 A081124 A081125 this_sequence A081127 A081128 A081129

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 07 2003, Apr 17 2007

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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