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A094703 a(1)=1, a(2)=11, a(n+2) = 8*a(n+1) + 21*a(n). 3
1, 11, 109, 1103, 11113, 112067, 1129909, 11392679, 114869521, 1158202427, 11677879357, 117745285823, 1187197753081, 11970233026931, 120693017030149, 1216919029806743, 12269905596087073, 123714544394638187, 1247384372674934029, 12577080413686874159 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n+1)/a(n) converges to 4+sqrt(37).

LINKS

Colin Barker, Table of n, a(n) for n = 1..997

Index entries for linear recurrences with constant coefficients, signature (8,21).

FORMULA

a(n) = (1/2)*[4-sqrt(37)]^n+(7/74)*sqrt(37)*[4+sqrt(37)]^n+(1/2)*[4+sqrt(37)]^n-(7/74)*[4 -sqrt(37)]^n*sqrt(37), with n>=0. - Paolo P. Lava, Jul 08 2008

G.f.: -x*(3*x+1) / (21*x^2+8*x-1). - Colin Barker, May 22 2015

PROG

(PARI) Vec(-x*(3*x+1)/(21*x^2+8*x-1) + O(x^100)) \\ Colin Barker, May 22 2015

CROSSREFS

Cf. A093103, A093117.

Sequence in context: A054320 A287836 A124290 * A169631 A280855 A103542

Adjacent sequences:  A094700 A094701 A094702 * A094704 A094705 A094706

KEYWORD

nonn,easy

AUTHOR

Gary W. Adamson, May 21 2004

EXTENSIONS

More terms from Robert G. Wilson v, May 24 2004

Edited by Don Reble, Nov 04 2005

STATUS

approved

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Last modified February 21 16:08 EST 2019. Contains 320375 sequences. (Running on oeis4.)