A087439 Expansion of (1-4x)/((1-x)(1-3x)(1-5x)).

1, 5, 22, 98, 451, 2135, 10312, 50468, 249061, 1235465, 6147802, 30650438, 152986471, 764135195, 3818284492, 19084248008, 95399716681, 476934013325, 2384476356382, 11921800651178, 59607259863691, 298031069141855

Offset

0,2

Comments

Partial sums of A081186. The sequence 0,1,5,22,.. is given by 5^n/8+3^n/4-3/8. Binomial transform of A087440.

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (9,-23,15).

Formula

a(n)=5*5^n/8+3*3^n/4-3/8.

Mathematica

CoefficientList[Series[(1-4x)/((1-x)(1-3x)(1-5x)), {x, 0, 30}], x] (* Harvey P. Dale, May 04 2026 *)
(* Alternative: *)
LinearRecurrence[{9, -23, 15}, {1, 5, 22}, 30] (* Harvey P. Dale, May 04 2026 *)

Crossrefs

Sequence in context: A342554 A129164 A123347 * A033452 A391172 A346772

Adjacent sequences: A087436 A087437 A087438 * A087440 A087441 A087442

Keyword

easy,nonn

Author

Paul Barry, Sep 03 2003

Status

approved