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A163066 a(n) = 12*a(n-1)-31*a(n-2) for n > 1; a(0) = 2, a(1) = 17. 1
2, 17, 142, 1177, 9722, 80177, 660742, 5443417, 44838002, 369310097, 3041743102, 25052304217, 206333614442, 1699381942577, 13996241263222, 115274054938777, 949405180105442, 7819366458163217, 64400836914689902, 530409682773219097 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

Binomial transform of A162773. Inverse binomial transform of A163067.

FORMULA

a(n) = ((2+sqrt(5))*(6+sqrt(5))^n+(2-sqrt(5))*(6-sqrt(5))^n)/2.

G.f.: (2-7*x)/(1-12*x+31*x^2).

PROG

(MAGMA) [ n le 2 select 15*n-13 else 12*Self(n-1)-31*Self(n-2): n in [1..20] ];

CROSSREFS

Cf. A162773, A163067.

Sequence in context: A037573 A037741 A037636 * A110815 A074624 A176934

Adjacent sequences:  A163063 A163064 A163065 * A163067 A163068 A163069

KEYWORD

nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 20 2009

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Last modified February 15 05:45 EST 2012. Contains 205694 sequences.