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Search: id:A041180
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| A041180 |
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Numerators of continued fraction convergents to sqrt(101). |
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+0
2
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| 10, 201, 4030, 80801, 1620050, 32481801, 651256070, 13057603201, 261803320090, 5249124005001, 105244283420110, 2110134792407201, 42307940131564130, 848268937423689801, 17007686688605360150
(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)=20*a(n-1)+a(n-2), n>1 ; a(0)=10, a(1)=201 . G.f.: (10+x)/(1-20*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 21 2008]
a(n)=(1/2)*sqrt(101)*{[10+sqrt(101)]^n-[10-sqrt(101)]^n}+5*{[10+sqrt(101)]^n+[10-sqrt(101)]^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. A041181.
Sequence in context: A036362 A051262 A041183 this_sequence A027014 A088746 A069863
Adjacent sequences: A041177 A041178 A041179 this_sequence A041181 A041182 A041183
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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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