A303055 Expansion of (1-504*x)^(1/12).

1, -42, -9702, -3124044, -1148086170, -453264419916, -187198205425308, -79746435511181208, -34749509273997211386, -15405615778138763714460, -6923283730695560413278324, -3145688371456037358687733032, -1442298118312593128958325595172

Offset: 0

Author

Seiichi Manyama, Jun 15 2018

Keywords

• sign
• easy

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..371

Crossrefs

Cf. A109817.

Programs

PARI

N=20; x='x+O('x^N); Vec((1-504*x)^(1/12))

Formula

a(n) = 42^n/n! * Product_{k=0..n-1} (12*k - 1) for n > 0.

a(n) ~ -504^n / (12 * Gamma(11/12) * n^(13/12)). - Vaclav Kotesovec, Jun 16 2018

D-finite with recurrence: n*a(n) +42*(-12*n+13)*a(n-1)=0. - R. J. Mathar, Jan 20 2020