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A041596 Numerators of continued fraction convergents to sqrt(316). 2
17, 18, 71, 160, 1351, 2862, 9937, 12799, 445103, 457902, 1818809, 4095520, 34582969, 73261458, 254367343, 327628801, 11393746577, 11721375378, 46557872711, 104837120800, 885254839111, 1875346799022, 6511295236177, 8386642035199, 291657124432943 (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 (0,0,0,0,0,0,0,25598,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^15 -17*x^14 +18*x^13 -71*x^12 +160*x^11 -1351*x^10 +2862*x^9 -9937*x^8 -12799*x^7 -9937*x^6 -2862*x^5 -1351*x^4 -160*x^3 -71*x^2 -18*x -17) / ((x^8 -160*x^4 +1)*(x^8 +160*x^4 +1)). - Colin Barker, Nov 10 2013

MATHEMATICA

Numerator[Convergents[Sqrt[316], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

CROSSREFS

Cf. A041597.

Sequence in context: A041592 A041594 A041590 * A041600 A041598 A041602

Adjacent sequences:  A041593 A041594 A041595 * A041597 A041598 A041599

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 10 2013

STATUS

approved

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Last modified March 21 22:19 EDT 2019. Contains 321382 sequences. (Running on oeis4.)