A041572 Numerators of continued fraction convergents to sqrt(304).

17, 35, 122, 279, 401, 680, 1081, 1761, 2842, 7445, 25177, 57799, 1990343, 4038485, 14105798, 32250081, 46355879, 78605960, 124961839, 203567799, 328529638, 860627075, 2910410863, 6681448801, 230079670097, 466840788995, 1630602037082, 3728044863159

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,115598,0,0,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^23 -17*x^22 +35*x^21 -122*x^20 +279*x^19 -401*x^18 +680*x^17 -1081*x^16 +1761*x^15 -2842*x^14 +7445*x^13 -25177*x^12 -57799*x^11 -25177*x^10 -7445*x^9 -2842*x^8 -1761*x^7 -1081*x^6 -680*x^5 -401*x^4 -279*x^3 -122*x^2 -35*x -17) / ((x^12 -340*x^6 +1)*(x^12 +340*x^6 +1)). - Colin Barker, Nov 19 2013

Mathematica

Numerator[Convergents[Sqrt[304], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

Crossrefs

Cf. A041573, A040286.

Sequence in context: A198587 A385110 A041570 * A146729 A041574 A144534

Adjacent sequences: A041569 A041570 A041571 * A041573 A041574 A041575

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Nov 19 2013

Status

approved