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A190990 a(n) = 10*a(n-1) - 8*a(n-2), with a(0)=0, a(1)=1. 3
0, 1, 10, 92, 840, 7664, 69920, 637888, 5819520, 53092096, 484364800, 4418911232, 40314193920, 367790649344, 3355392942080, 30611604226048, 279272898723840, 2547836153430016, 23244178344509440, 212059094217654272, 1934637515420467200, 17649902400463437824 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (10,-8)

FORMULA

G.f. x  / ( 1-10*x+8*x^2 ). - R. J. Mathar, May 26 2011

a(n)=1/34*sqrt(17)*((5+sqrt(17))^n-(5-sqrt(17))^n), Paolo P. Lava, May 31 2011

MATHEMATICA

LinearRecurrence[{10, -8}, {0, 1}, 50]

CROSSREFS

Cf. A190958 (index to generalized Fibonacci sequences)

Sequence in context: A228420 A037534 A120996 * A287829 A265242 A262173

Adjacent sequences:  A190987 A190988 A190989 * A190991 A190992 A190993

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, May 24 2011

STATUS

approved

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Last modified February 24 12:18 EST 2021. Contains 341569 sequences. (Running on oeis4.)