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Search: id:A155459
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| A155459 |
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a(n)=7*a(n-1)+36*a(n-2), n>2 ; a(0)=1, a(1)=1, a(2)=7 . |
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+0
1
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| 1, 1, 7, 85, 847, 8989, 93415, 977509, 10205503, 106628845, 1113800023, 11635238581, 121543470895, 1269672885181, 13263275148487, 138551149905925, 1447335954687007, 15119193079422349, 157938445924688695
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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G.f.: (1-6*x-36*x^2)/(1-7*x-36*x^2).
a(n)=(7/386)*sqrt(193)*{[(7/2)+(1/2)*sqrt(193)]^n-[(7/2)-(1/2)*sqrt(193)]^n}+(1/2)*{[(7/2)-(1/2)*sqrt(193)]^n+[(7/2)+(1/2)*sqrt(193)]^n}+[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jan 26 2009]
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CROSSREFS
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Sequence in context: A027459 A162160 A027531 this_sequence A155631 A126344 A026001
Adjacent sequences: A155456 A155457 A155458 this_sequence A155460 A155461 A155462
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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), Jan 22 2009
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