A042362 Numerators of continued fraction convergents to sqrt(708).

26, 27, 53, 80, 133, 612, 2581, 10936, 13517, 24453, 37970, 62423, 3283966, 3346389, 6630355, 9976744, 16607099, 76405140, 322227659, 1365315776, 1687543435, 3052859211, 4740402646, 7793261857, 409990019210, 417783281067, 827773300277, 1245556581344

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,124846,0,0,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^23 -26*x^22 +27*x^21 -53*x^20 +80*x^19 -133*x^18 +612*x^17 -2581*x^16 +10936*x^15 -13517*x^14 +24453*x^13 -37970*x^12 -62423*x^11 -37970*x^10 -24453*x^9 -13517*x^8 -10936*x^7 -2581*x^6 -612*x^5 -133*x^4 -80*x^3 -53*x^2 -27*x -26) / (x^24 -124846*x^12 +1). - Colin Barker, Dec 09 2013

Mathematica

Numerator[Convergents[Sqrt[708], 30]] (* Vincenzo Librandi, Nov 22 2013 *)

Crossrefs

Cf. A042363, A040681.

Sequence in context: A296868 A277602 A022396 * A042364 A042366 A042368

Adjacent sequences: A042359 A042360 A042361 * A042363 A042364 A042365

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 09 2013

Status

approved