A295234 - OEIS

%I #13 Nov 18 2017 12:17:53

%S 1,-1,-4,-23,-225,-2765,-42291,-758931,-15672042,-365632740,

%T -9512462314,-273071185192,-8574979449941,-292421476560437,

%U -10762598186760785,-425244979326332068,-17953805056325313497,-806668085786772161511

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

%C This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -n^(n-1), g(n) = n.

%H Seiichi Manyama, <a href="/A295234/b295234.txt">Table of n, a(n) for n = 0..386</a>

%F Convolution inverse of A294957.

%F a(0) = 1 and a(n) = -(1/n) * Sum_{k=1..n} A294956(k)*a(n-k) for n > 0.

%o (PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, (1-k*x^k)^k^(k-1)))

%Y Cf. A266964, A294956, A294957.

%K sign

%O 0,3

%A _Seiichi Manyama_, Nov 18 2017