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A041221 Denominators of continued fraction convergents to sqrt(122). +0
3
1, 22, 485, 10692, 235709, 5196290, 114554089, 2525386248, 55673051545, 1227332520238, 27056988496781, 596481079449420, 13149640736384021, 289888577279897882, 6390698340894137425, 140885252076950921232 (list; graph; listen)
OFFSET

0,2

LINKS

Tanya Khovanova, Recursive Sequences

FORMULA

a(n)=F(n, 22), the n-th Fibonacci polynomial evaluated at x=22. - T. D. Noe (noe(AT)sspectra.com), Jan 19 2006

a(n)=22*a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=22 . G.f.: 1/(1-22*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 21 2008]

MATHEMATICA

a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*22, {n, 3*4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 27 2009]

CROSSREFS

Cf. A041220.

Sequence in context: A158535 A077421 A009966 this_sequence A041926 A121904 A158629

Adjacent sequences: A041218 A041219 A041220 this_sequence A041222 A041223 A041224

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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