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A041214 Numerators of continued fraction convergents to sqrt(118). 2
10, 11, 76, 239, 554, 5779, 12112, 42115, 264802, 306917, 6403142, 6710059, 46663496, 146700547, 340064590, 3547346447, 7434757484, 25851618899, 162544470878, 188396089777, 3930466266418, 4118862356195, 28643640403588, 90049783566959, 208743207537506 (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 (0,0,0,0,0,0,0,0,0,613834,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^19 -10*x^18 +11*x^17 -76*x^16 +239*x^15 -554*x^14 +5779*x^13 -12112*x^12 +42115*x^11 -264802*x^10 -306917*x^9 -264802*x^8 -42115*x^7 -12112*x^6 -5779*x^5 -554*x^4 -239*x^3 -76*x^2 -11*x -10) / (x^20 -613834*x^10 +1). - Colin Barker, Nov 10 2013

MATHEMATICA

Numerator[Convergents[Sqrt[118], 30]] (* Vincenzo Librandi, Oct 31 2013 *)

CROSSREFS

Cf. A041215.

Sequence in context: A257313 A122602 A037958 * A228381 A262229 A086457

Adjacent sequences:  A041211 A041212 A041213 * A041215 A041216 A041217

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 10 2013

STATUS

approved

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Last modified October 20 11:07 EDT 2018. Contains 316379 sequences. (Running on oeis4.)