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Search: id:A147839
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| A147839 |
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a(n)=9*a(n-1)-7*a(n-2), a(0)=1, a(1)=7 . |
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+0
3
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| 1, 7, 56, 455, 3703, 30142, 245357, 1997219, 16257472, 132336715, 1077228131, 8768696174, 71377668649, 581018144623, 4729519621064, 38498549577215, 313380308847487, 2550932932586878, 20764734231349493, 169026077554037291
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n)=Sum_{k, 0<=k<=n}A147703(n,k)*6^k . G.f.: (1-2x)/(1-9x+7*x^2).
a(n)=-(5/106)*sqrt(53)*[(9/2)-(1/2)*sqrt(53)]^n+(5/106)*[(9/2)+(1/2)*sqrt(53)]^n*sqrt(53)+(1/2)*[(9 /2)+(1/2)*sqrt(53)]^n+(1/2)*[(9/2)-(1/2)*sqrt(53)]^n, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 18 2008]
a(n)= ((53+5*sqrt(53))/106)*(4.5+0.5*sqrt(53))^n + ((53-5*sqrt(53))/106)*(4.5-0.5*sqrt(53))^n [From Richard Choulet (richardchoulet(AT)yahoo.fr), Nov 20 2008]
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CROSSREFS
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Sequence in context: A055274 A152776 A155197 this_sequence A126694 A024091 A145302
Adjacent sequences: A147836 A147837 A147838 this_sequence A147840 A147841 A147842
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KEYWORD
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nonn
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 14 2008
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