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A119429 Expansion of sum{k>=0, x^(2k)/prod[j=1..k, 1-j*2x]}. 1
1, 0, 1, 2, 5, 14, 45, 164, 661, 2884, 13461, 66894, 353217, 1977146, 11691481, 72734088, 474172777, 3229062120, 22914397417, 169128976922, 1296276808253, 10300677006854, 84731125615749, 720392483485868, 6321631421441149 (list; graph; refs; listen; history; internal format)
OFFSET

0,4

FORMULA

a(n)=sum{k=0..n, S2(k,n-k)2^(2k-n)}, S2(n,k)=A048993(n,k); a(n)=sum{k=0..floor(n/2), S2(n-k,k)2^(n-2k)}.

CROSSREFS

Cf. A024427.

Sequence in context: A149893 A149894 A081444 * A174300 A059216 A007823

Adjacent sequences:  A119426 A119427 A119428 * A119430 A119431 A119432

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), May 19 2006

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Last modified February 14 22:55 EST 2012. Contains 205685 sequences.