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Search: id:A081179
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| A081179 |
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3rd binomial transform of (0,1,0,2,0,4,0,8,0,16,....). |
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+0
5
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| 0, 1, 6, 29, 132, 589, 2610, 11537, 50952, 224953, 993054, 4383653, 19350540, 85417669, 377052234, 1664389721, 7346972688, 32431108081, 143157839670, 631929281453, 2789470811028, 12313319895997, 54353623698786
(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)=6a(n-1)-7a(n-2), a(0)=0, a(1)=1. G.f.: x/(1-6x+7x^2). a(n)=((3+sqrt(2))^n-(3-sqrt(2))^n)/(2*sqrt(2)). [Corrected by Al Hakanson (hawkuu(AT)gmail.com), Dec 27 2008]
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PROGRAM
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(Other) sage: [lucas_number1(n, 6, 7) for n in xrange(0, 23)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 22 2009]
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CROSSREFS
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Cf. A026866, A081179.
Sequence in context: A008549 A026675 A026873 this_sequence A026866 A045445 A026884
Adjacent sequences: A081176 A081177 A081178 this_sequence A081180 A081181 A081182
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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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