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A162815 a(n) = 8*a(n-1)-13*a(n-2) for n > 1; a(0) = 5, a(1) = 23. 1
5, 23, 119, 653, 3677, 20927, 119615, 684869, 3923957, 22488359, 128895431, 738814781, 4234877645, 24274429007, 139142022671, 797568604277, 4571702539493, 26205228460343, 150209694669335, 861009587370221 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

Binomial transform of A162814. Inverse binomial transform of A143647.

FORMULA

a(n) = ((5+sqrt(3))*(4+sqrt(3))^n+(5-sqrt(3))*(4-sqrt(3))^n)/2.

G.f.: (5-17*x)/(1-8*x+13*x^2).

PROG

(MAGMA) [ n le 2 select 18*n-13 else 8*Self(n-1)-13*Self(n-2): n in [1..20] ];

CROSSREFS

Cf. A162814, A143647.

Sequence in context: A167248 A005393 A193704 * A033312 A151881 A121636

Adjacent sequences:  A162812 A162813 A162814 * A162816 A162817 A162818

KEYWORD

nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 18 2009

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Last modified February 15 21:56 EST 2012. Contains 205860 sequences.