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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 MATHEMATICA Table[Binomial[n 2^n, n], {n, 0, 20}] (* Harvey P. Dale, Jan 15 2022 *) 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: A356518 A355070 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 July 14 11:30 EDT 2024. Contains 374318 sequences. (Running on oeis4.)