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A152268
Expansion of g.f. x/(1-7*x+8*x^2).
3
0, 1, 7, 41, 231, 1289, 7175, 39913, 221991, 1234633, 6866503, 38188457, 212387175, 1181202569, 6569320583, 36535623529, 203194800039, 1130078612041, 6284991883975, 34954314291497, 194400264968679, 1081167340448777
OFFSET
0,3
COMMENTS
Binomial transform of 0, 1, 5, 23, 105, ... (A107839 with an additional initial term 0) and second binomial transform of 0, 1, 3, 11, 39, ... (A007482 with an additional initial term 0). - Klaus Purath, Sep 09 2024
FORMULA
From R. J. Mathar, Dec 04 2008: (Start)
a(n) = 7*a(n-1) - 8*a(n-2).
G.f.: x/(1-7*x+8*x^2). (End)
PROG
(Sage) [lucas_number1(n, 7, 8) for n in range(0, 22)] # Zerinvary Lajos, Apr 23 2009
CROSSREFS
Sequence in context: A081625 A144635 A097165 * A026002 A173409 A057009
KEYWORD
nonn,easy,changed
AUTHOR
Roger L. Bagula, Dec 01 2008
STATUS
approved