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A041685 Denominators of continued fraction convergents to sqrt(362). 2
1, 38, 1445, 54948, 2089469, 79454770, 3021370729, 114891542472, 4368899984665, 166133090959742, 6317426356454861, 240228334636244460, 9134994142533744341, 347370005750918529418, 13209195212677437862225, 502296788087493557293968 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (38,1).

FORMULA

a(n)=F(n, 38), the n-th Fibonacci polynomial evaluated at x=38. - T. D. Noe, 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). [Philippe Deléham, Nov 23 2008]

MATHEMATICA

a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*38, {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)

Denominator[Convergents[Sqrt[362], 30]] (* Vincenzo Librandi, Dec 22 2013 *)

LinearRecurrence[{38, 1}, {1, 38}, 30] (* Harvey P. Dale, May 23 2017 *)

CROSSREFS

Cf. A041684, A040342.

Sequence in context: A239364 A078987 A009982 * A221385 A158766 A217224

Adjacent sequences:  A041682 A041683 A041684 * A041686 A041687 A041688

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 21 2013

STATUS

approved

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Last modified November 23 13:09 EST 2017. Contains 295127 sequences.