A155458 - OEIS

A155458

a(n)=6*a(n-1)+25*a(n-2), n>2 ; a(0)=1, a(1)=1, a(2)=6 .

1, 1, 6, 61, 516, 4621, 40626, 359281, 3171336, 28010041, 247343646, 2184312901, 19289468556, 170344633861, 1504304517066, 13284442948921, 117314270620176, 1035996697444081, 9148836950168886, 80792939137115341, 713478558576914196

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..20.

Index entries for linear recurrences with constant coefficients, signature (6,25).

FORMULA

G.f.: (1-5*x-25*x^2)/(1-6*x-25*x^2)

MATHEMATICA

LinearRecurrence[{6, 25}, {1, 1, 6}, 25] (* Paolo Xausa, Jan 29 2024 *)

CoefficientList[Series[(1-5x-25x^2)/(1-6x-25x^2), {x, 0, 30}], x] (* Harvey P. Dale, Sep 02 2024 *)

CROSSREFS

Sequence in context: A068171 A069633 A069618 * A152281 A053462 A160751

Adjacent sequences: A155455 A155456 A155457 * A155459 A155460 A155461

KEYWORD

nonn,easy

AUTHOR

Philippe Deléham, Jan 22 2009

STATUS

approved