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A041556 Numerators of continued fraction convergents to sqrt(296). 2
17, 69, 86, 671, 757, 3699, 126523, 509791, 636314, 4963989, 5600303, 27365201, 936017137, 3771433749, 4707450886, 36723589951, 41431040837, 202447753299, 6924654653003, 27901066365311, 34825721018314, 271681113493509, 306506834511823, 1497708451540801 (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 (0,0,0,0,0,7398,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^11 -17*x^10 +69*x^9 -86*x^8 +671*x^7 -757*x^6 -3699*x^5 -757*x^4 -671*x^3 -86*x^2 -69*x -17) / ((x^6 -86*x^3 -1)*(x^6 +86*x^3 -1)). - Colin Barker, Nov 08 2013

MATHEMATICA

Numerator[Convergents[Sqrt[296], 40]] (* Vincenzo Librandi, Jan 13 2012 *)

CROSSREFS

Cf. A041557.

Sequence in context: A209078 A244630 A248894 * A041558 A183943 A180532

Adjacent sequences:  A041553 A041554 A041555 * A041557 A041558 A041559

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 08 2013

STATUS

approved

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Last modified February 16 02:39 EST 2019. Contains 320140 sequences. (Running on oeis4.)