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A041685 Denominators of continued fraction convergents to sqrt(362). +0
2
1, 38, 1445, 54948, 2089469, 79454770, 3021370729, 114891542472, 4368899984665, 166133090959742, 6317426356454861, 240228334636244460, 9134994142533744341, 347370005750918529418, 13209195212677437862225 (list; graph; listen)
OFFSET

0,2

LINKS

Tanya Khovanova, Recursive Sequences

FORMULA

a(n)=F(n, 38), the n-th Fibonacci polynomial evaluated at x=38. - T. D. Noe (noe(AT)sspectra.com), Jan 19 2006

a(n)=38*a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=38 . G.f.: 1/(1-38*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*38, {n, 3*4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 03 2009]

CROSSREFS

Cf. A041684.

Sequence in context: A158702 A078987 A009982 this_sequence A158766 A093648 A055605

Adjacent sequences: A041682 A041683 A041684 this_sequence A041686 A041687 A041688

KEYWORD

nonn,cofr,easy,new

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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