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Search: id:A041060
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| A041060 |
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Numerators of continued fraction convergents to sqrt(37). |
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+0
2
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| 6, 73, 882, 10657, 128766, 1555849, 18798954, 227143297, 2744518518, 33161365513, 400680904674, 4841332221601, 58496667563886, 706801342988233, 8540112783422682, 103188154744060417, 1246797969712147686
(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)=12*a(n-1)+a(n-2), n>1 ; a(0)=6, a(1)=73 . G.f.: (6+x)/(1-12*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 21 2008]
a(n)=3*{[6-sqrt(37)]^n+[6+sqrt(37)]^n}+(1/2)*sqrt(37)*{[6+sqrt(37)]^n-[6-sqrt(37)]^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. A041061.
Cf. A089926. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 09 2008]
Sequence in context: A008562 A041063 A105324 this_sequence A089926 A135594 A058793
Adjacent sequences: A041057 A041058 A041059 this_sequence A041061 A041062 A041063
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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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