A016233 Expansion of 1/((1-x)(1-5x)(1-8x)).

1, 14, 143, 1300, 11181, 93354, 766363, 6228560, 50316761, 404975494, 3252010983, 26077123020, 208922159941, 1672903158434, 13390854662003, 107164984268680, 857510609012721, 6861038546418174, 54893076742927423

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (14,-53,40).

Formula

a(n) = (1/28) - (5/12)*5^n + (8/21)*8^n. - Antonio Alberto Olivares, Feb 06 2010

a(0)=1, a(1)=14, a(n) = 13*a(n-1) - 40*a(n-2) + 1. - Vincenzo Librandi, Feb 10 2011

a(0)=1, a(1)=14, a(2)=143, a(n) = 14*a(n-1) - 53*a(n-2) + 40*a(n-3). - Harvey P. Dale, Dec 26 2015

Mathematica

CoefficientList[Series[1/((1-x)(1-5x)(1-8x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{14, -53, 40}, {1, 14, 143}, 30] (* Harvey P. Dale, Dec 26 2015 *)

Crossrefs

Sequence in context: A159500 A167834 A238473 * A276250 A099914 A016278

Adjacent sequences: A016230 A016231 A016232 * A016234 A016235 A016236

Keyword

nonn

Author

N. J. A. Sloane

Status

approved