A016277 Expansion of 1/((1-2x)(1-3x)(1-8x)).

1, 13, 123, 1049, 8603, 69489, 557971, 4470073, 35779755, 286296065, 2290543619, 18324876297, 146600596507, 1172809538641, 9382490625267, 75059967983321, 600479872875659, 4803839370163617, 38430716123046115

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (13, -46, 48).

Formula

a(n) = 2*2^n/3 -9*3^n/5 +32*8^n/15. - Antonio Alberto Olivares, Feb 06 2010

From Vincenzo Librandi, Mar 15 2011: (Start)

a(n) = 13*a(n-1) - 46*a(n-2) + 48*a(n-3), n>=3.

a(n) = 11*a(n-1) - 24*a(n-2) + 2^n, a(0)=1, a(1)=13. (End)

Crossrefs

Sequence in context: A101186 A295778 A115204 * A202131 A152583 A304353

Adjacent sequences: A016274 A016275 A016276 * A016278 A016279 A016280

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved