A016237 Expansion of 1/((1-x)(1-5x)(1-10x)).

1, 16, 191, 2066, 21441, 218316, 2202691, 22124566, 221733941, 2219780816, 22210015191, 222161187066, 2221917046441, 22220696343316, 222214592827691, 2222184075249566, 22222031487358941, 222221268547905816, 2222217453850640191, 22222198380364312066

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (16,-65,50).

Formula

a(0)=1, a(1)=16, a(n)=15*a(n-1)-50*a(n-2)+1. - Vincenzo Librandi, Feb 10 2011

a(n) = (8*10^(n+1) - 9*5^(n+1) + 1)/36. - Yahia Kahloune, Aug 13 2013

Prog

(PARI) a(n) = (8*10^(n+1) - 9*5^(n+1) + 1)/36; \\ Joerg Arndt, Aug 13 2013

Crossrefs

Sequence in context: A181277 A181269 A004333 * A036735 A321456 A304307

Adjacent sequences: A016234 A016235 A016236 * A016238 A016239 A016240

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved