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A041518 Numerators of continued fraction convergents to sqrt(276). 2
16, 17, 33, 50, 83, 216, 515, 1246, 1761, 3007, 4768, 7775, 253568, 261343, 514911, 776254, 1291165, 3358584, 8008333, 19375250, 27383583, 46758833, 74142416, 120901249, 3942982384, 4063883633, 8006866017, 12070749650, 20077615667, 52225980984, 124529577635 (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 (0,0,0,0,0,0,0,0,0,0,0,15550,0,0,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^23 -16*x^22 +17*x^21 -33*x^20 +50*x^19 -83*x^18 +216*x^17 -515*x^16 +1246*x^15 -1761*x^14 +3007*x^13 -4768*x^12 -7775*x^11 -4768*x^10 -3007*x^9 -1761*x^8 -1246*x^7 -515*x^6 -216*x^5 -83*x^4 -50*x^3 -33*x^2 -17*x -16) / ((x^8 -25*x^4 +1)*(x^16 +25*x^12 +624*x^8 +25*x^4 +1)). - Colin Barker, Nov 18 2013

MATHEMATICA

Numerator[Convergents[Sqrt[276], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

CROSSREFS

Cf. A041519, A040259.

Sequence in context: A252492 A319281 A022106 * A042195 A041520 A058542

Adjacent sequences:  A041515 A041516 A041517 * A041519 A041520 A041521

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 18 2013

STATUS

approved

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Last modified February 22 19:52 EST 2019. Contains 320403 sequences. (Running on oeis4.)