OFFSET
0,2
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
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jun 26 2010
STATUS
approved