OFFSET
0,2
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..500
A. Straub, V. H. Moll, and T. Amdeberhan, The p-adic valuation of k-central binomial coefficients, Acta Arith. 140 (1) (2009) 31-41, eq (1.10).
FORMULA
G.f.: (1-64*x)^(-1/8).
D-finite with recurrence: n*a(n) = 8*(8*n-7)*a(n-1). - R. J. Mathar, Jan 28 2020
MATHEMATICA
CoefficientList[Series[1/(1-64x)^(1/8), {x, 0, 30}], x] (* Harvey P. Dale, May 20 2011 *)
PROG
(Magma) [n le 1 select 8^(n-1) else 8*(8*n-15)*Self(n-1)/(n-1): n in [1..40]]; // G. C. Greubel, Oct 21 2022
(SageMath) [2^(6*n)*rising_factorial(1/8, n)/factorial(n) for n in range(40)] # G. C. Greubel, Oct 21 2022
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
EXTENSIONS
a(11) corrected by Harvey P. Dale, May 20 2011
STATUS
approved