A016297 Expansion of 1/((1-2x)(1-5x)(1-8x)).

1, 15, 159, 1475, 12831, 107835, 888679, 7239555, 58567311, 471793355, 3790622199, 30406356435, 243657749791, 1951296498075, 15620544499719, 125015218606115, 1000376061956271, 8004280061317995, 64040598319145239

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (15,-66,80)

Formula

From Vincenzo Librandi, Mar 16 2011: (Start)

a(n) = 15*a(n-1) - 66*a(n-2) + 80*a(n-3), n >= 3.

a(n) = 13*a(n-1) - 40*a(n-2) + 2^n, n >= 2. (End)

a(n) = 4*8^(n+1)/9 + 2^(n+1)/9 - 5^(n+2)/9. - R. J. Mathar, Mar 18 2011

Crossrefs

Sequence in context: A232414 A183555 A232415 * A206811 A027544 A021048

Adjacent sequences: A016294 A016295 A016296 * A016298 A016299 A016300

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved