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A177410 a(n) = binomial((n+1)*2^n, n)/(n+1). 2

%I

%S 1,2,22,1240,316316,343855008,1551088459936,28684932916796288,

%T 2161788213413182113760,661624062463590275090838016,

%U 820418024446932078541699530057216

%N a(n) = binomial((n+1)*2^n, n)/(n+1).

%F a(n) = [x^n] (1 + x)^((n+1)*2^n)/(n+1).

%F 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

%o (PARI) {a(n)=binomial((n+1)*2^n,n)/(n+1)}

%o (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

%Y Cf. A177411, A177400.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Jun 26 2010

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Last modified May 18 21:55 EDT 2021. Contains 344003 sequences. (Running on oeis4.)