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

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

Offset

0,2

Links

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

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

Prog

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

Crossrefs

Cf. A109817.

Sequence in context: A246621 A153471 A006699 * A226262 A109817 A211909

Adjacent sequences: A303052 A303053 A303054 * A303056 A303057 A303058

Keyword

sign,easy

Author

Seiichi Manyama, Jun 15 2018

Status

approved