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Search: id:A084132
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| A084132 |
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a(n)=4a(n-1)+6a(n-2), a(0)=1,a(1)=2. |
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+0
3
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| 1, 2, 14, 68, 356, 1832, 9464, 48848, 252176, 1301792, 6720224, 34691648, 179087936, 924501632, 4772534144, 24637146368, 127183790336, 656558039552, 3389334900224, 17496687838208, 90322760754176, 466271170045952
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Binomial transform of A002535.
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FORMULA
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a(n)=(2+sqrt(10))^n/2+(2-sqrt(10))^n/2; G.f.: (1-2x)/(1-4x-6x^2); E.g.f. : exp(2x)cosh(sqrt(10)x).
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PROGRAM
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(Other) sage: [lucas_number2(n, 4, -6)/2 for n in xrange(0, 22)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 14 2009]
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CROSSREFS
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Cf. A005667.
Sequence in context: A144657 A167555 A109869 this_sequence A084770 A086243 A072888
Adjacent sequences: A084129 A084130 A084131 this_sequence A084133 A084134 A084135
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), May 16 2003
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