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Search: id:A084131
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A084131 a(n)=10a(n-1)-17a(n-2), a(0)=0,a(1)=5. +0
2
1, 5, 33, 245, 1889, 14725, 115137, 901045, 7053121, 55213445, 432231393, 3383685365, 26488919969, 207366548485, 1623353845377, 12708307129525, 99486055923841, 778819338036485, 6096930429659553, 47729375549975285 (list; graph; listen)
OFFSET

0,2

COMMENT

Binomial transform of A084130.

FORMULA

a(n)=(5+sqrt(8))^n/2+(5-sqrt(8))^n/2; G.f.: (1-5x)/(1-10x+17x^2); E.g.f.: exp(5x)cosh(sqrt(8)x).

CROSSREFS

Sequence in context: A118803 A093427 A142989 this_sequence A084771 A153398 A034015

Adjacent sequences: A084128 A084129 A084130 this_sequence A084132 A084133 A084134

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), May 16 2003

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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