A042376 Numerators of continued fraction convergents to sqrt(715).

26, 27, 80, 107, 615, 3182, 16525, 19707, 55939, 75646, 3989531, 4065177, 12119885, 16185062, 93045195, 481411037, 2500100380, 2981511417, 8463123214, 11444634631, 603584124026, 615028758657, 1833641641340, 2448670399997, 14076993641325, 72833638606622

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,151292,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -26*x^18 +27*x^17 -80*x^16 +107*x^15 -615*x^14 +3182*x^13 -16525*x^12 +19707*x^11 -55939*x^10 -75646*x^9 -55939*x^8 -19707*x^7 -16525*x^6 -3182*x^5 -615*x^4 -107*x^3 -80*x^2 -27*x -26) / (x^20 -151292*x^10 +1). - Colin Barker, Dec 10 2013

a(n) = 151292*a(n-10) - a(n-20). - Wesley Ivan Hurt, Sep 07 2022

Mathematica

Numerator[Convergents[Sqrt[715], 30]] (* Vincenzo Librandi, Nov 22 2013 *)

Crossrefs

Cf. A042377, A040688.

Sequence in context: A304007 A305357 A042374 * A042372 A042370 A042382

Adjacent sequences: A042373 A042374 A042375 * A042377 A042378 A042379

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 10 2013

Status

approved