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A041280 Numerators of continued fraction convergents to sqrt(153). 2
12, 25, 37, 99, 235, 569, 804, 2177, 53052, 108281, 161333, 430947, 1023227, 2477401, 3500628, 9478657, 230988396, 471455449, 702443845, 1876343139, 4455130123, 10786603385, 15241733508, 41270070401, 1005723423132, 2052716916665, 3058440339797, 8169597596259 (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 (0,0,0,0,0,0,0,4354,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x +1)*(x^14 -13*x^13 +38*x^12 -75*x^11 +174*x^10 -409*x^9 +978*x^8 -1782*x^7 -395*x^6 -409*x^5 -160*x^4 -75*x^3 -24*x^2 -13*x -12) / ((x^4 -8*x^2 -1)*(x^4 +8*x^2 -1)*(x^8 +66*x^4 +1)). - Colin Barker, Nov 06 2013

MATHEMATICA

Numerator[Convergents[Sqrt[153], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

CROSSREFS

Cf. A041281.

Sequence in context: A186620 A042851 A280324 * A132754 A250666 A224669

Adjacent sequences:  A041277 A041278 A041279 * A041281 A041282 A041283

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 06 2013

STATUS

approved

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Last modified September 24 07:01 EDT 2020. Contains 337317 sequences. (Running on oeis4.)