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A042452 Numerators of continued fraction convergents to sqrt(754). 2
27, 55, 302, 357, 659, 1016, 1675, 9391, 20457, 1114069, 2248595, 12357044, 14605639, 26962683, 41568322, 68531005, 384223347, 836977699, 45581019093, 91999015885, 505576098518, 597575114403, 1103151212921, 1700726327324, 2803877540245, 15720114028549 (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 (0,0,0,0,0,0,0,0,40914,0,0,0,0,0,0,0,0,1).

FORMULA

G.f.: -(x^17 -27*x^16 +55*x^15 -302*x^14 +357*x^13 -659*x^12 +1016*x^11 -1675*x^10 +9391*x^9 +20457*x^8 +9391*x^7 +1675*x^6 +1016*x^5 +659*x^4 +357*x^3 +302*x^2 +55*x +27) / (x^18 +40914*x^9 -1). - Colin Barker, Dec 14 2013

MATHEMATICA

Numerator[Convergents[Sqrt[754], 30]] (* Vincenzo Librandi, Nov 25 2013 *)

CROSSREFS

Cf. A042453, A040726.

Sequence in context: A042448 A042446 A042450 * A042454 A042456 A132768

Adjacent sequences:  A042449 A042450 A042451 * A042453 A042454 A042455

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 14 2013

STATUS

approved

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Last modified June 15 20:50 EDT 2019. Contains 324145 sequences. (Running on oeis4.)