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A041088 Numerators of continued fraction convergents to sqrt(52). 2
7, 29, 36, 101, 137, 649, 9223, 37541, 46764, 131069, 177833, 842401, 11971447, 48728189, 60699636, 170127461, 230827097, 1093435849, 15538928983, 63249151781, 78788080764, 220825313309, 299613394073 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1298,0,0,0,0,0,-1).

FORMULA

a(n) = 1298*a(n-6)-a(n-12). G.f.: -(x^11-7*x^10+29*x^9-36*x^8+101*x^7-137*x^6-649*x^5-137*x^4-101*x^3-36*x^2-29*x-7)/((x^2-3*x-1)*(x^2+3*x-1)*(x^4-3*x^3+10*x^2+3*x+1)*(x^4+3*x^3+10*x^2-3*x+1)). [Colin Barker, Jul 18 2012]

MATHEMATICA

Numerator[Convergents[Sqrt[52], 30]] (* Vincenzo Librandi, Oct 25 2013 *)

CROSSREFS

Cf. A010505, A041089.

Sequence in context: A140447 A038934 A262285 * A107923 A096450 A156124

Adjacent sequences:  A041085 A041086 A041087 * A041089 A041090 A041091

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 15 12:37 EDT 2021. Contains 343920 sequences. (Running on oeis4.)