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A041666 Numerators of continued fraction convergents to sqrt(352). 2
18, 19, 75, 394, 3621, 18499, 59118, 77617, 2853330, 2930947, 11646171, 61161802, 562102389, 2871673747, 9177123630, 12048797377, 442933829202, 454982626579, 1807881708939, 9494391171274, 87257402250405, 445781402423299, 1424601609520302, 1870383011943601 (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 (0,0,0,0,0,0,0,155234,0,0,0,0,0,0,0,-1).

FORMULA

a(n) = 155234*a(n-8) - a(n-16) for n>15. [Bruno Berselli, Nov 06 2013]

G.f.: -(x^15 -18*x^14 +19*x^13 -75*x^12 +394*x^11 -3621*x^10 +18499*x^9 -59118*x^8 -77617*x^7 -59118*x^6 -18499*x^5 -3621*x^4 -394*x^3 -75*x^2 -19*x -18) / ((x^8 -394*x^4 +1)*(x^8 +394*x^4 +1)). - Colin Barker, Dec 28 2013

MATHEMATICA

Numerator[Convergents[Sqrt[352], 30]] (* Vincenzo Librandi, Nov 06 2013 *)

CROSSREFS

Cf. A041667, A040333.

Sequence in context: A041660 A257314 A041668 * A041670 A041672 A041674

Adjacent sequences:  A041663 A041664 A041665 * A041667 A041668 A041669

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 28 2013

STATUS

approved

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Last modified October 17 21:37 EDT 2019. Contains 328134 sequences. (Running on oeis4.)