A016298 Expansion of 1/((1-2x)(1-5x)(1-9x)).

1, 16, 183, 1850, 17681, 164316, 1504843, 13673710, 123714261, 1116683216, 10066424303, 90679197570, 816519676441, 7350711587716, 66166576804563, 595550053849430, 5360204797752221, 48243114745437816

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (16,-73,90)

Formula

From Vincenzo Librandi, Mar 16 2011: (Start)

a(n) = 16*a(n-1) - 73*a(n-2) + 90*a(n-3), n >= 3.

a(n) = 14*a(n-1) - 45*a(n-2) + 2^n, n >= 2. (End)

a(n) = 2^(n+2)/21 + 9^(n+2)/28 - 5^(n+2)/12. - R. J. Mathar, Mar 18 2011

Mathematica

CoefficientList[Series[1/((1-2x)(1-5x)(1-9x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{16, -73, 90}, {1, 16, 183}, 30] (* Harvey P. Dale, Jul 06 2014 *)

Crossrefs

Sequence in context: A279282 A231135 A230992 * A288720 A125428 A203391

Adjacent sequences: A016295 A016296 A016297 * A016299 A016300 A016301

Keyword

nonn

Author

N. J. A. Sloane

Status

approved