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A041572 Numerators of continued fraction convergents to sqrt(304). 2
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 (list; graph; refs; listen; history; text; internal format)
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: A195047 A198587 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

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Last modified March 18 19:58 EDT 2019. Contains 321293 sequences. (Running on oeis4.)