A041290 - OEIS

A041290

Numerators of continued fraction convergents to sqrt(158).

12, 13, 25, 88, 1081, 3331, 4412, 7743, 190244, 197987, 388231, 1362680, 16740391, 51583853, 68324244, 119908097, 2946118572, 3066026669, 6012145241, 21102462392, 259241693945, 798827544227, 1058069238172, 1856896782399, 45623592015748, 47480488798147

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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 (0,0,0,0,0,0,0,15486,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^15 -12*x^14 +13*x^13 -25*x^12 +88*x^11 -1081*x^10 +3331*x^9 -4412*x^8 -7743*x^7 -4412*x^6 -3331*x^5 -1081*x^4 -88*x^3 -25*x^2 -13*x -12) / (x^16 -15486*x^8 +1). - Colin Barker, Nov 10 2013

MATHEMATICA

Numerator[Convergents[Sqrt[158], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

CROSSREFS

Cf. A041291.

Sequence in context: A041292 A041679 A041294 * A041288 A042207 A022317

Adjacent sequences: A041287 A041288 A041289 * A041291 A041292 A041293

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 10 2013

STATUS

approved