A295234 Expansion of Product_{k>=1} (1 - k*x^k)^(k^(k-1)).

1, -1, -4, -23, -225, -2765, -42291, -758931, -15672042, -365632740, -9512462314, -273071185192, -8574979449941, -292421476560437, -10762598186760785, -425244979326332068, -17953805056325313497, -806668085786772161511

Offset: 0

Author

Seiichi Manyama, Nov 18 2017

Keywords

• sign

Comments

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

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..386

Crossrefs

Cf. A266964, A294956, A294957.

Programs

PARI

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

Formula

Convolution inverse of A294957.

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