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Search: id:A152297
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| 1, 2, 3, 2, -7, -38, -117, -278, -527, -718, -237, 2642, 11753, 33802, 76443, 136762, 164833, -24478, -922077, -3565918, -9653887, -20783558, -34867797, -35553398, 32125393, 306268562
(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 A146559.
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FORMULA
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a(n)=4*a(n-1)-5*a(n-2), n>1 ; a(0)=1, a(1)=2 . G.f.: (1-2*x)/(1-4*x+5*x^2). a(n)=((2+I)^n+(2-I)^n)/2 . a(n)=Sum_{k, 0<=k<=n}A098158(n,k)*2^(2k-n)*(-1)^(n-k).
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PROGRAM
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(Other) sage: [lucas_number2(n, 4, 5)/2 for n in xrange(0, 26)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 14 2009]
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CROSSREFS
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Cf. A056594, A146559
Sequence in context: A048601 A008317 A139011 this_sequence A063708 A096488 A011280
Adjacent sequences: A152294 A152295 A152296 this_sequence A152298 A152299 A152300
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KEYWORD
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sign
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 02 2008
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