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Search: id:A145934
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| A145934 |
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Expansion of 1/(1-x(1-6x)). |
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+0
8
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| 1, 1, -5, -11, 19, 85, -29, -539, -365, 2869, 5059, -12155, -42509, 30421, 285475, 102949, -1609901, -2227595, 7431811, 20797381, -23793485, -148577771, -5816861, 885649765, 920550931, -4393347659, -9916653245, 16443432709
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Row sums of Riordan array (1,x(1-6x)).
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FORMULA
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a(n)=Sum_{k, 0<=k<=n}A109466(n,k)*6^(n-k).
a(n)=a(n-1)-6*a(n-2); a(0)=1, a(1)=1. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 25 2008]
a(n)=(1/46)*I*[(1/2)-(1/2)*I*sqrt(23)]^n*sqrt(23)+(1/2)*[(1/2)-(1/2)*I*sqrt(23)]^n-(1/46)*I *[(1/2)+(1/2)*I*sqrt(23)]^n*sqrt(23)+(1/2)*[(1/2)+(1/2)*I*sqrt(23)]^n, with n>=0 and I=sqrt(-1) [From Paolo P. Lava (ppl(AT)spl.at), Nov 18 2008]
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PROGRAM
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(Other) sage: [lucas_number1(n, 1, 6) for n in xrange(1, 29)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 22 2009]
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CROSSREFS
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Cf. A010892, A107920, A106852, A106853, A106854
Sequence in context: A045452 A152085 A128927 this_sequence A033913 A088124 A029456
Adjacent sequences: A145931 A145932 A145933 this_sequence A145935 A145936 A145937
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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), Oct 25 2008
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