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A041265 Denominators of continued fraction convergents to sqrt(145). +0
2
1, 24, 577, 13872, 333505, 8017992, 192765313, 4634385504, 111418017409, 2678666803320, 64399421297089, 1548264777933456, 37222754091700033, 894894362978734248, 21514687465581321985, 517247393536930461888 (list; graph; listen)
OFFSET

0,2

LINKS

Tanya Khovanova, Recursive Sequences

FORMULA

a(n)=F(n, 24), the n-th Fibonacci polynomial evaluated at x=24. - T. D. Noe (noe(AT)sspectra.com), Jan 19 2006

a(n)=24*a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=24 . G.f.: 1/(1-24*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*24, {n, 3*4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 27 2009]

CROSSREFS

Cf. A041264.

Sequence in context: A077423 A059061 A009968 this_sequence A042106 A158637 A055359

Adjacent sequences: A041262 A041263 A041264 this_sequence A041266 A041267 A041268

KEYWORD

nonn,cofr,easy,less

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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