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A041664 Numerators of continued fraction convergents to sqrt(351). 2
18, 19, 56, 75, 281, 637, 1555, 3747, 12796, 16543, 45882, 62425, 2293182, 2355607, 7004396, 9360003, 35084405, 79528813, 194142031, 467812875, 1597580656, 2065393531, 5728367718, 7793761249, 286303772682, 294097533931, 874498840544, 1168596374475 (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 (0,0,0,0,0,0,0,0,0,0,0,124850,0,0,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^23 -18*x^22 +19*x^21 -56*x^20 +75*x^19 -281*x^18 +637*x^17 -1555*x^16 +3747*x^15 -12796*x^14 +16543*x^13 -45882*x^12 -62425*x^11 -45882*x^10 -16543*x^9 -12796*x^8 -3747*x^7 -1555*x^6 -637*x^5 -281*x^4 -75*x^3 -56*x^2 -19*x -18) / ((x^8 -50*x^4 +1)*(x^16 +50*x^12 +2499*x^8 +50*x^4 +1)). - Colin Barker, Nov 21 2013

MATHEMATICA

Numerator[Convergents[Sqrt[351], 30]] (* Vincenzo Librandi, Nov 06 2013 *)

CROSSREFS

Cf. A041665, A040332.

Sequence in context: A041648 A034122 A299454 * A041662 A300092 A042517

Adjacent sequences:  A041661 A041662 A041663 * A041665 A041666 A041667

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 21 2013

STATUS

approved

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Last modified August 21 23:04 EDT 2019. Contains 326169 sequences. (Running on oeis4.)