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A133444 a(n)=sum{k=0..n, C(n,floor(k/2))*(-1)^k*4^(n-k)}. 0
1, 3, 14, 57, 246, 1038, 4424, 18777, 79846, 339258, 1442004, 6128202, 26045436, 110691948, 470442924, 1999378137, 8497365126, 36113785698 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Hankel transform is 5^n . Second binomial transform is A076036 .

FORMULA

a(n)=Sum{k, 0<=k<=n} A053121(n,k)*A015521(k+1) = (-1)^n*A127363(n) . G.f.: (1/sqrt(1-4x^2))(1-xc(x^2))/(1-4x*c(x^2)), where c(x) is the g.f. of Catalan numbers A000108 .

CROSSREFS

Sequence in context: A135926 A015523 A127363 * A126875 A110526 A038679

Adjacent sequences:  A133441 A133442 A133443 * A133445 A133446 A133447

KEYWORD

nonn

AUTHOR

Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 26 2007

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Last modified February 14 01:35 EST 2012. Contains 205567 sequences.