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A155458
a(n)=6*a(n-1)+25*a(n-2), n>2 ; a(0)=1, a(1)=1, a(2)=6 .
0
1, 1, 6, 61, 516, 4621, 40626, 359281, 3171336, 28010041, 247343646, 2184312901, 19289468556, 170344633861, 1504304517066, 13284442948921, 117314270620176, 1035996697444081, 9148836950168886, 80792939137115341, 713478558576914196
OFFSET
0,3
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
KEYWORD
nonn,easy
AUTHOR
Philippe Deléham, Jan 22 2009
STATUS
approved