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A056124 a(n)=3a(n-1)-a(n-2)+8; a(0)=1, a(1)=11. 0
1, 11, 40, 117, 319, 848, 2233, 5859, 15352, 40205, 105271, 275616, 721585, 1889147, 4945864, 12948453, 33899503, 88750064, 232350697, 608302035, 1592555416, 4169364221, 10915537255, 28577247552, 74816205409 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n)={{19*[((3+sqrt(5))/2)^n - ((3-sqrt(5))/2)^n]-9*[((3+sqrt(5))/2)^(n-1) - ((3-sqrt(5))/2)^(n-1)]}/sqrt(5)} - 8.

G.f.(x)=(1+7x)/(1-x)(1-3x+x^2).

Fibonacci(2n+5) + 2*Lucas(2n) - 8.

CROSSREFS

Cf. A055850.

Sequence in context: A147296 A059142 A064798 * A064768 A135719 A089776

Adjacent sequences:  A056121 A056122 A056123 * A056125 A056126 A056127

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, Jul 07 2000

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Last modified February 15 09:00 EST 2012. Contains 205744 sequences.