OFFSET
0,2
FORMULA
a(n) = [x^n] (1 + x)^((n+1)*2^(n+1))/(n+1).
a(n) = [x^n] Sum_{k=0..n} 2^k*(n+1)^(k-1) * log(1 + 2^k*x)^k/k!. - Paul D. Hanna, Jul 03 2010
MATHEMATICA
Table[Binomial[(n+1)2^(n+1), n]/(n+1), {n, 0, 20}] (* Harvey P. Dale, Feb 03 2019 *)
PROG
(PARI) {a(n)=binomial((n+1)*2^(n+1), n)/(n+1)}
(PARI) {a(n)=polcoeff(sum(k=0, n, 2^k*(n+1)^(k-1)*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