A035308 Expansion of 1/(1-100*x)^(1/10), related to deca-factorial numbers A045757.

1, 10, 550, 38500, 2983750, 244667500, 20796737500, 1812287125000, 160840482343750, 14475643410937500, 1317283550395312500, 120950580536296875000, 11187928699607460937500

Offset

0,2

Links

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

A. Straub, V. H. Moll, T. Amdeberhan, The p-adic valuation of k-central binomial coefficients, Acta Arith. 140 (1) (2009) 31-41, eq (1.10)

Formula

a(n) = 10^n*A045757(n)/n!, n >= 1, A045757(n)=(10*n-9)(!^10) := product(10*j-9, j=1..n); G.f. (1-100*x)^(-1/10).

Crossrefs

Cf. A045757, A035024, A004993, A000984, A004987.

Sequence in context: A014382 A325147 A370733 * A327412 A212925 A322654

Adjacent sequences: A035305 A035306 A035307 * A035309 A035310 A035311

Keyword

easy,nonn

Author

Wolfdieter Lang

Status

approved