A042332 Numerators of continued fraction convergents to sqrt(693).

26, 79, 974, 1053, 5186, 6239, 80054, 246401, 12892906, 38925119, 479994334, 518919453, 2555672146, 3074591599, 39450771334, 121426905601, 6353649862586, 19182376493359, 236542167782894, 255724544276253, 1259440344887906, 1515164889164159, 19441419014857814

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,492802,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -26*x^14 +79*x^13 -974*x^12 +1053*x^11 -5186*x^10 +6239*x^9 -80054*x^8 -246401*x^7 -80054*x^6 -6239*x^5 -5186*x^4 -1053*x^3 -974*x^2 -79*x -26) / ((x^8 -702*x^4 +1)*(x^8 +702*x^4 +1)). - Colin Barker, Dec 08 2013

Mathematica

Numerator[Convergents[Sqrt[693], 30]] (* Vincenzo Librandi, Nov 21 2013 *)

Crossrefs

Cf. A042333, A040666.

Sequence in context: A042328 A042330 A052241 * A260199 A239172 A291631

Adjacent sequences: A042329 A042330 A042331 * A042333 A042334 A042335

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 08 2013

Status

approved