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Search: id:A041420
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| A041420 |
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Numerators of continued fraction convergents to sqrt(226). |
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+0
2
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| 15, 451, 13545, 406801, 12217575, 366934051, 11020239105, 330974107201, 9940243455135, 298538277761251, 8966088576292665, 269281195566541201, 8087401955572528695, 242891339862742402051, 7294827597837844590225
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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Tanya Khovanova, Recursive Sequences
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FORMULA
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a(n)=30*a(n-1)+a(n-2), n>1 ; a(0)=15, a(1)=451 . G.f.: (15+x)/(1-30*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 22 2008]
a(n)=(15/2)*{[15-sqrt(226)]^n+[15+sqrt(226)]^n}+(1/2)*sqrt(226)*{[15+sqrt(226)]^n-[15 -sqrt(226)]^n}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 28 2008]
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CROSSREFS
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Cf. A041421.
Sequence in context: A068203 A020285 A041423 this_sequence A036506 A005815 A120600
Adjacent sequences: A041417 A041418 A041419 this_sequence A041421 A041422 A041423
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KEYWORD
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nonn,cofr,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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