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Search: id:A041612
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| A041612 |
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Numerators of continued fraction convergents to sqrt(325). |
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+0
2
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| 18, 649, 23382, 842401, 30349818, 1093435849, 39394040382, 1419278889601, 51133434066018, 1842222905266249, 66371158023650982, 2391203911756701601, 86149711981264908618, 3103780835237293411849, 111822259780523827735182
(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)=36*a(n-1)+a(n-2), n>1 ; a(0)=18, a(1)=649 . G.f.: (18+x)/(1-36*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 23 2008]
a(n)=9*{[18+5*sqrt(13)]^n+[18-5*sqrt(13)]^n}+(5/2)*sqrt(13)*{[18+5*sqrt(13)]^n-[18-5*sqrt(13)]^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. A041613.
Sequence in context: A003298 A049869 A041615 this_sequence A046674 A073421 A159873
Adjacent sequences: A041609 A041610 A041611 this_sequence A041613 A041614 A041615
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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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