A303153 Expansion of Product_{n>=1} (1 - (16*x)^n)^(1/4).

1, -4, -88, -992, -19360, -97152, -4296448, 4539392, -568015360, -127621120, -39357927424, 2424998313984, -38804685471744, 799759166930944, 4879962868940800, 41563181340426240, 585185165832486912, 55834295603426754560, -75535223925056208896

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) = -1/4, g(n) = 16^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), this sequence (b=4), A303154 (b=5).

Cf. A303124, A303135.

Programs

PARI

N=66; x='x+O('x^N); Vec(prod(k=1, N, (1-(16*x)^k)^(1/4)))