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A042032 Numerators of continued fraction convergents to sqrt(540). 2
23, 93, 395, 488, 5275, 5763, 28327, 119071, 5505593, 22141443, 94071365, 116212808, 1256199445, 1372412253, 6745848457, 28355806081, 1311112928183, 5272807518813, 22402343003435, 27675150522248, 299153848225915, 326828998748163, 1606469843218567 (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 (0,0,0,0,0,0,0,238142,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^15 -23*x^14 +93*x^13 -395*x^12 +488*x^11 -5275*x^10 +5763*x^9 -28327*x^8 -119071*x^7 -28327*x^6 -5763*x^5 -5275*x^4 -488*x^3 -395*x^2 -93*x -23) / ((x^8 -488*x^4 +1)*(x^8 +488*x^4 +1)). - Colin Barker, Nov 29 2013

MATHEMATICA

Numerator[Convergents[Sqrt[540], 30]]  (* Vincenzo Librandi, Nov 14 2013 *)

CROSSREFS

Cf. A042033, A040516.

Sequence in context: A317371 A244632 A042030 * A257976 A183011 A158544

Adjacent sequences:  A042029 A042030 A042031 * A042033 A042034 A042035

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 29 2013

STATUS

approved

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Last modified November 16 05:27 EST 2018. Contains 317258 sequences. (Running on oeis4.)