A028199 Expansion of 1/((1-5x)(1-10x)(1-11x)(1-12x)).

1, 38, 917, 17950, 311181, 4984638, 75555157, 1099718270, 15519848861, 213791759038, 2888580642597, 38416793758590, 504293367484141, 6547729455298238, 84231046860437237, 1075013759173110910

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (38,-527,3130,-6600).

Formula

a(n) = 23*a(n-1) - 132*a(n-2) + 5^n * (2^(n+1) - 1), n >= 2. - Vincenzo Librandi, Mar 12 2011

a(n) = 10^(n+2) - 5^(n+2)/42 - 11^(n+3)/6 + 6*12^(n+2)/7. - R. J. Mathar, Mar 18 2011

Crossrefs

Sequence in context: A028226 A028224 A028218 * A285236 A208949 A255496

Adjacent sequences: A028196 A028197 A028198 * A028200 A028201 A028202

Keyword

nonn

Author

N. J. A. Sloane

Status

approved