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A041841 Denominators of continued fraction convergents to sqrt(442). 1
1, 42, 1765, 74172, 3116989, 130987710, 5504600809, 231324221688, 9721121911705, 408518444513298, 17167495791470221, 721443341686262580, 30317787846614498581, 1274068532899495202982, 53541196169625413023825 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

Tanya Khovanova, Recursive Sequences

FORMULA

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]

MATHEMATICA

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]

CROSSREFS

Cf. A041840.

Sequence in context: A207452 A207258 A009986 * A187365 A180371 A046198

Adjacent sequences:  A041838 A041839 A041840 * A041842 A041843 A041844

KEYWORD

nonn,cofr,easy

AUTHOR

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

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.