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A041040
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Numerators of continued fraction convergents to sqrt(26).
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2
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5, 51, 515, 5201, 52525, 530451, 5357035, 54100801, 546365045, 5517751251, 55723877555, 562756526801, 5683289145565, 57395647982451, 579639768970075, 5853793337683201, 59117573145802085, 597029524795704051
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Tanya Khovanova, Recursive Sequences
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FORMULA
| a(n)=10*a(n-1)+a(n-2), a(0)=5, a(1)=51. G.f.: (5+x)/(1-10*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 20 2008]
a(n)=(5/2)*{[5+sqrt(26)]^n+[5-sqrt(26)]^n}+(1/2)*sqrt(26)*{[5+sqrt(26)]^n-[5-sqrt(26)]^n}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Nov 28 2008]
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MATHEMATICA
| Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[26], n]]], {n, 1, 50}] (*From Vladimir Joseph Stephan Orlovsky, Mar 18 2011*)
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CROSSREFS
| Cf. A041041.
Sequence in context: A195211 A106415 A088320 * A180511 A190734 A154886
Adjacent sequences: A041037 A041038 A041039 * A041041 A041042 A041043
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KEYWORD
| nonn,cofr,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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