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A177410 a(n) = binomial((n+1)*2^n, n)/(n+1). 2
1, 2, 22, 1240, 316316, 343855008, 1551088459936, 28684932916796288, 2161788213413182113760, 661624062463590275090838016, 820418024446932078541699530057216 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..10.

FORMULA

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

PROG

(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

CROSSREFS

Cf. A177411, A177400.

Sequence in context: A015210 A152558 A202947 * A193486 A054948 A104149

Adjacent sequences:  A177407 A177408 A177409 * A177411 A177412 A177413

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jun 26 2010

STATUS

approved

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Last modified August 25 21:00 EDT 2019. Contains 326324 sequences. (Running on oeis4.)