A041538 Numerators of continued fraction convergents to sqrt(286).

16, 17, 186, 575, 1911, 4397, 15102, 49703, 512132, 561835, 18490852, 19052687, 209017722, 646105853, 2147335281, 4940776415, 16969664526, 55849769993, 575467364456, 631317134449, 20777615666824, 21408932801273, 234866943679554, 726009763839935

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,1123670,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -16*x^18 +17*x^17 -186*x^16 +575*x^15 -1911*x^14 +4397*x^13 -15102*x^12 +49703*x^11 -512132*x^10 -561835*x^9 -512132*x^8 -49703*x^7 -15102*x^6 -4397*x^5 -1911*x^4 -575*x^3 -186*x^2 -17*x -16) / (x^20 -1123670*x^10 +1). - Colin Barker, Nov 10 2013

Mathematica

Numerator[Convergents[Sqrt[286], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

Crossrefs

Cf. A041539.

Sequence in context: A041534 A306572 A041536 * A033052 A041540 A041541

Adjacent sequences: A041535 A041536 A041537 * A041539 A041540 A041541

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 10 2013

Status

approved