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Search: id:A042104
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| A042104 |
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Numerators of continued fraction convergents to sqrt(577). |
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+0
2
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| 24, 1153, 55368, 2658817, 127678584, 6131230849, 294426759336, 14138615678977, 678947979350232, 32603641624490113, 1565653745954875656, 75183983447458521601, 3610396859223963912504, 173374233226197726321793
(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)=48*a(n-1)+a(n-2), n>1 ; a(0)=24, a(1)=1153 . G.f.: (24+x)/(1-48*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 23 2008]
a(n)=12*{[24-sqrt(577)]^n+[24+sqrt(577)]^n}+(1/2)*sqrt(577)*{[24+sqrt(577)]^n-[24-sqrt(577)]^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. A042105.
Sequence in context: A090675 A144618 A042107 this_sequence A069991 A035025 A074652
Adjacent sequences: A042101 A042102 A042103 this_sequence A042105 A042106 A042107
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KEYWORD
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nonn,cofr,easy,less
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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