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Search: id:A081183
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| A081183 |
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6-th binomial transform of (0,1,0,2,0,4,0,8,0,16,....). |
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+0
6
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| 0, 1, 12, 110, 912, 7204, 55440, 420344, 3159168, 23618320, 176008128, 1309074656, 9724619520, 72186895936, 535605687552, 3972913788800, 29464372088832, 218493396246784, 1620132103941120, 12012809774902784, 89069225764835328
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n)=12a(n-1)-34a(n-2), a(0)=0, a(1)=1. G.f. x/(1-12x+34x^2). a(n)=((6+sqrt(2))^n-(6-sqrt(2))^n/(2*sqrt(2)). a(n)=Sum {k=0..n, C(n, 2k+1)2^k*6^(n-2k-1) }
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PROGRAM
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(Other) sage: [lucas_number1(n, 12, 34) for n in xrange(0, 21)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 27 2009]
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CROSSREFS
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Binomial transform of A081182.
Sequence in context: A081200 A016214 A037581 this_sequence A069294 A000559 A037714
Adjacent sequences: A081180 A081181 A081182 this_sequence A081184 A081185 A081186
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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), Mar 11 2003
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