A041214 Numerators of continued fraction convergents to sqrt(118).

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

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: A335553 A122602 A037958 * A228381 A262229 A347182

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