A042430 - OEIS

A042430

Numerators of continued fraction convergents to sqrt(743).

27, 82, 109, 845, 22924, 161313, 184237, 714024, 38741533, 116938623, 155680156, 1206699715, 32736572461, 230362706942, 263099279403, 1019660545151, 55324768717557, 166993966697822, 222318735415379, 1723225114605475, 46749396829763204, 328969002922947903

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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, 1428048, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^15 - 27*x^14 + 82*x^13 - 109*x^12 + 845*x^11 - 22924*x^10 + 161313*x^9 - 184237*x^8 - 714024*x^7 - 184237*x^6 - 161313*x^5 - 22924*x^4 - 845*x^3 - 109*x^2 - 82*x - 27) / (x^16 - 1428048*x^8 + 1). - Colin Barker, Dec 14 2013

MATHEMATICA

Numerator[Convergents[Sqrt[743], 30]] (* Vincenzo Librandi, Nov 24 2013 *)

CROSSREFS

Cf. A042431, A040715.

Sequence in context: A031455 A045004 A042432 * A195028 A042434 A042436

Adjacent sequences: A042427 A042428 A042429 * A042431 A042432 A042433

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Colin Barker, Dec 14 2013

STATUS

approved