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A177400 a(n) = binomial(n*2^n, n). 2
1, 2, 28, 2024, 635376, 820384032, 4281625192384, 89850821311025280, 7571365534761592422144, 2561263066959640762657702400, 3477982739629565890806006777904128 (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*2^n).

a(n) = [x^n] Sum_{k=0..n} n^k * log(1 + 2^k*x)^k/k!. - Paul D. Hanna, Jul 03 2010

PROG

(PARI) {a(n)=binomial(n*2^n, n)}

(PARI) {a(n)=polcoeff(sum(k=0, n, n^k*log(1+2^k*x +x*O(x^n))^k/k!), n)} \\ Paul D. Hanna, Jul 03 2010

CROSSREFS

Cf. A177410, A177411.

Cf. A136463. - Paul D. Hanna, Jul 03 2010

Sequence in context: A238817 A202942 A326366 * A230700 A168554 A152792

Adjacent sequences:  A177397 A177398 A177399 * A177401 A177402 A177403

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jun 26 2010

STATUS

approved

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Last modified February 24 01:02 EST 2020. Contains 332195 sequences. (Running on oeis4.)