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A177410
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a(n) = binomial((n+1)*2^n, n)/(n+1).
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2
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1, 2, 22, 1240, 316316, 343855008, 1551088459936, 28684932916796288, 2161788213413182113760, 661624062463590275090838016, 820418024446932078541699530057216
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = [x^n] (1 + x)^((n+1)*2^n)/(n+1).
a(n) = [x^n] Sum_{k=0..n} (n+1)^(k-1) * log(1 + 2^k*x)^k/k!. - Paul D. Hanna, Jul 03 2010
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PROG
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(PARI) {a(n)=binomial((n+1)*2^n, n)/(n+1)}
(PARI) {a(n)=polcoeff(sum(k=0, n, (n+1)^(k-1)*log(1+2^k*x +x*O(x^n))^k/k!), n)} \\ Paul D. Hanna, Jul 03 2010
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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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