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A041250 Numerators of continued fraction convergents to sqrt(137). 2
11, 12, 35, 82, 117, 199, 515, 1229, 1744, 39597, 41341, 122279, 285899, 408178, 694077, 1796332, 4286741, 6083073, 138114347, 144197420, 426509187, 997215794, 1423724981, 2420940775, 6265606531, 14952153837, 21217760368, 481742881933, 502960642301 (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 (0,0,0,0,0,0,0,0,3488,0,0,0,0,0,0,0,0,1).

FORMULA

G.f.: -(x^17 -11*x^16 +12*x^15 -35*x^14 +82*x^13 -117*x^12 +199*x^11 -515*x^10 +1229*x^9 +1744*x^8 +1229*x^7 +515*x^6 +199*x^5 +117*x^4 +82*x^3 +35*x^2 +12*x +11) / (x^18 +3488*x^9 -1). - Colin Barker, Nov 08 2013

MATHEMATICA

Numerator[Convergents[Sqrt[137], 30]] (* Vincenzo Librandi, Oct 31 2013 *)

CROSSREFS

Cf. A041251.

Sequence in context: A080138 A244068 A041252 * A225299 A290336 A300405

Adjacent sequences:  A041247 A041248 A041249 * A041251 A041252 A041253

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 08 2013

STATUS

approved

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Last modified December 2 17:59 EST 2021. Contains 349445 sequences. (Running on oeis4.)