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A190974 a(n) = 7*a(n-1) - 5*a(n-2), with a(0)=0, a(1)=1. 3
0, 1, 7, 44, 273, 1691, 10472, 64849, 401583, 2486836, 15399937, 95365379, 590557968, 3657078881, 22646762327, 140241941884, 868459781553, 5378008761451, 33303762422392, 206236293149489, 1277135239934463, 7908765213793796, 48975680296884257 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..22.

Index entries for linear recurrences with constant coefficients, signature (7, -5).

FORMULA

a(n) = ((7/2 + 1/2*sqrt(29))^n - (7/2 - 1/2*sqrt(29))^n)/sqrt(29). - Giorgio Balzarotti, May 28 2011

G.f.: x/(1 - 7x + 5*x^2). - Philippe Deléham, Oct 12 2011

MATHEMATICA

LinearRecurrence[{7, -5}, {0, 1}, 50]

CROSSREFS

Cf. A190958 (index to generalized Fibonacci sequences).

Sequence in context: A178719 A094113 A218992 * A027279 A099464 A254660

Adjacent sequences:  A190971 A190972 A190973 * A190975 A190976 A190977

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, May 24 2011

STATUS

approved

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Last modified December 14 12:04 EST 2019. Contains 329979 sequences. (Running on oeis4.)