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Search: id:A041220
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| A041220 |
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Numerators of continued fraction convergents to sqrt(122). |
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+0
2
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| 11, 243, 5357, 118097, 2603491, 57394899, 1265291269, 27893802817, 614928953243, 13556330774163, 298854205984829, 6588348862440401, 145242529179673651, 3201923990815260723, 70587570327115409557
(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)=22*a(n-1)+a(n-2), n>1 ; a(0)=11, a(1)=243 . G.f.: (11+x)/(1-22*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 21 2008]
a(n)=(11/2)*{[11+sqrt(122)]^n+[11-sqrt(122)]^n}+(1/2)*sqrt(122)*{[11+sqrt(122)]^n-[11-sqrt(122)]^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. A041221.
Sequence in context: A077422 A121826 A041223 this_sequence A098672 A056210 A089298
Adjacent sequences: A041217 A041218 A041219 this_sequence A041221 A041222 A041223
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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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