A292311 - OEIS

%I #12 Sep 16 2017 17:10:56

%S 1,-1,-3,-24,-216,-2801,-42166,-762397,-15685040,-366477168,

%T -9523974486,-273453483050,-8583651341879,-292700900034984,

%U -10770969729108326,-425541512224476567,-17964544188354355022,-807097409926675847400

%N Expansion of Product_{k>=1} 1/(1 + k^k*x^k).

%H Seiichi Manyama, <a href="/A292311/b292311.txt">Table of n, a(n) for n = 0..386</a>

%F Convolution inverse of A265949.

%F a(n) ~ -n^n * (1 - exp(-1)/n - (exp(-1)/2 + 3*exp(-2))/n^2). - _Vaclav Kotesovec_, Sep 14 2017

%o (PARI) {a(n) = polcoeff(1/prod(k=1, n, 1+k^k*x^k+x*O(x^n)), n)}

%Y Cf. A023882, A265949.

%K sign

%O 0,3

%A _Seiichi Manyama_, Sep 14 2017