A303154 Expansion of Product_{n>=1} (1 - (25*x)^n)^(1/5).

1, -5, -175, -3250, -100625, -1015000, -58034375, -154171875, -22257500000, -154144921875, -6824828906250, 175448177734375, -8774446542968750, 164769756689453125, 756859169189453125, 9661555852294921875, -16148589271240234375, 81663068586871337890625

Offset: 0

Author

Seiichi Manyama, Apr 19 2018

Keywords

• sign

Comments

This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -1/5, g(n) = 25^n.

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..500

Crossrefs

Expansion of Product_{n>=1} (1 - ((b^2)*x)^n)^(1/b): A010815 (b=1), A298411 (b=2), A303152 (b=3), A303153 (b=4), this sequence (b=5).

Cf. A303125, A303136.

Programs

PARI

N=66; x='x+O('x^N); Vec(prod(k=1, N, (1-(25*x)^k)^(1/5)))