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Search: id:A041841
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| A041841 |
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Denominators of continued fraction convergents to sqrt(442). |
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+0
2
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| 1, 42, 1765, 74172, 3116989, 130987710, 5504600809, 231324221688, 9721121911705, 408518444513298, 17167495791470221, 721443341686262580, 30317787846614498581, 1274068532899495202982, 53541196169625413023825
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Tanya Khovanova, Recursive Sequences
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FORMULA
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a(n)=F(n, 42), the n-th Fibonacci polynomial evaluated at x=42. - T. D. Noe (noe(AT)sspectra.com), Jan 19 2006
a(n)=42*a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=42 . G.f.: 1/(1-42*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 23 2008]
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MATHEMATICA
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a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*42, {n, 3*4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 03 2009]
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CROSSREFS
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Cf. A041840.
Sequence in context: A120815 A158727 A009986 this_sequence A046198 A053875 A048538
Adjacent sequences: A041838 A041839 A041840 this_sequence A041842 A041843 A041844
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KEYWORD
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nonn,cofr,easy,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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