A041664 Numerators of continued fraction convergents to sqrt(351).

18, 19, 56, 75, 281, 637, 1555, 3747, 12796, 16543, 45882, 62425, 2293182, 2355607, 7004396, 9360003, 35084405, 79528813, 194142031, 467812875, 1597580656, 2065393531, 5728367718, 7793761249, 286303772682, 294097533931, 874498840544, 1168596374475

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,124850,0,0,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^23 -18*x^22 +19*x^21 -56*x^20 +75*x^19 -281*x^18 +637*x^17 -1555*x^16 +3747*x^15 -12796*x^14 +16543*x^13 -45882*x^12 -62425*x^11 -45882*x^10 -16543*x^9 -12796*x^8 -3747*x^7 -1555*x^6 -637*x^5 -281*x^4 -75*x^3 -56*x^2 -19*x -18) / ((x^8 -50*x^4 +1)*(x^16 +50*x^12 +2499*x^8 +50*x^4 +1)). - Colin Barker, Nov 21 2013

Mathematica

Numerator[Convergents[Sqrt[351], 30]] (* Vincenzo Librandi, Nov 06 2013 *)

Crossrefs

Cf. A041665, A040332.

Sequence in context: A041648 A034122 A299454 * A041662 A300092 A042517

Adjacent sequences: A041661 A041662 A041663 * A041665 A041666 A041667

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 21 2013

Status

approved