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A041442 Numerators of continued fraction convergents to sqrt(237). 2
15, 31, 46, 77, 585, 5927, 42074, 48001, 90075, 228151, 6934605, 14097361, 21031966, 35129327, 266937255, 2704501877, 19198450394, 21902952271, 41101402665, 104105757601, 3164274130695, 6432654018991, 9596928149686, 16029582168677, 121804003330425 (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, 456302, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^19 -15*x^18 +31*x^17 -46*x^16 +77*x^15 -585*x^14 +5927*x^13 -42074*x^12 +48001*x^11 -90075*x^10 -228151*x^9 -90075*x^8 -48001*x^7 -42074*x^6 -5927*x^5 -585*x^4 -77*x^3 -46*x^2 -31*x -15) / (x^20 -456302*x^10 +1). - Colin Barker, Nov 17 2013

MATHEMATICA

Numerator[Convergents[Sqrt[237], 30]] (* Vincenzo Librandi, Nov 02 2013 *)

CROSSREFS

Cf. A041443, A040221.

Sequence in context: A249764 A202522 A054305 * A041440 A042017 A043346

Adjacent sequences:  A041439 A041440 A041441 * A041443 A041444 A041445

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 17 2013

STATUS

approved

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Last modified February 20 23:24 EST 2019. Contains 320362 sequences. (Running on oeis4.)