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A155459 a(n)=7*a(n-1)+36*a(n-2), n>2 ; a(0)=1, a(1)=1, a(2)=7 . 0
1, 1, 7, 85, 847, 8989, 93415, 977509, 10205503, 106628845, 1113800023, 11635238581, 121543470895, 1269672885181, 13263275148487, 138551149905925, 1447335954687007, 15119193079422349, 157938445924688695 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (7,36).

FORMULA

G.f.: (1-6*x-36*x^2)/(1-7*x-36*x^2).

a(n)=(7/386)*sqrt(193)*{[(7/2)+(1/2)*sqrt(193)]^n-[(7/2)-(1/2)*sqrt(193)]^n}+(1/2)*{[(7/2)-(1/2)*sqrt(193)]^n+[(7/2)+(1/2)*sqrt(193)]^n}+[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jan 26 2009]

CROSSREFS

Sequence in context: A329108 A162160 A027531 * A155631 A126344 A193578

Adjacent sequences:  A155456 A155457 A155458 * A155460 A155461 A155462

KEYWORD

nonn,easy

AUTHOR

Philippe Deléham, Jan 22 2009

STATUS

approved

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Last modified December 7 18:12 EST 2019. Contains 329847 sequences. (Running on oeis4.)