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Search: id:A146084
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| A146084 |
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Expansion of 1/(1-x(1-12x)). |
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+0
2
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| 1, 1, -11, -23, 109, 385, -923, -5543, 5533, 72049, 5653, -858935, -926771, 9380449, 20501701, -92063687, -338084099, 766680145, 4823689333, -4376472407, -62260744403, -9743075519, 737385857317, 854302763545, -7994327524259
(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(1-12x)).
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FORMULA
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a(n)=a(n-1)-12*a(n-2) ; a(0)=1, a(1)=1. a(n)=Sum_{k, 0<=k<=n}A109466(n,k)*12^(n-k).
a(n)=(1/2)*[(1/2)+(1/2)*I*sqrt(47)]^n-(1/94)*I*[(1/2)+(1/2)*I*sqrt(47)]^n*sqrt(47)+(1/2)*[(1/2) -(1/2)*I*sqrt(47)]^n+(1/94)*I*[(1/2)-(1/2)*I*sqrt(47)]^n*sqrt(47), 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, 12) for n in xrange(1, 26)] # [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, A145934, A145976, A145978, A146078, A146080, A146083
Sequence in context: A088777 A041238 A089779 this_sequence A014874 A027899 A106388
Adjacent sequences: A146081 A146082 A146083 this_sequence A146085 A146086 A146087
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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 27 2008
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