login
A295244
Expansion of Product_{k>=1} (1 + k^k*x^k)^k.
2
1, 1, 8, 89, 1121, 17313, 306588, 6264356, 144123978, 3710660797, 105517536463, 3289885612007, 111534718552758, 4086488012360688, 160872398645645560, 6772203940050042913, 303547711924399057195, 14433006933542826499824
OFFSET
0,3
COMMENTS
This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -n, g(n) = -n^n.
LINKS
FORMULA
a(0) = 1 and a(n) = (1/n) * Sum_{k=1..n} b(k)*a(n-k) where b(n) = Sum_{d|n} d^(2+n)*(-1)^(1+n/d).
PROG
(PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, (1+k^k*x^k)^k))
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Nov 18 2017
STATUS
approved