A041468 Numerators of continued fraction convergents to sqrt(250).

15, 16, 79, 253, 838, 3605, 4443, 136895, 141338, 702247, 2248079, 7446484, 32034015, 39480499, 1216448985, 1255929484, 6240166921, 19976430247, 66169457662, 284654260895, 350823718557, 10809365817605, 11160189536162, 55450123962253, 177510561422921

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,8886,0,0,0,0,0,0,1).

Formula

G.f.: -(x^13 -15*x^12 +16*x^11 -79*x^10 +253*x^9 -838*x^8 +3605*x^7 +4443*x^6 +3605*x^5 +838*x^4 +253*x^3 +79*x^2 +16*x +15)/(x^14 +8886*x^7 -1). - Colin Barker, Nov 08 2013

Mathematica

Numerator[Convergents[Sqrt[250], 30]] (* Vincenzo Librandi, Nov 03 2013 *)

Crossrefs

Cf. A020797, A041469.

Sequence in context: A041466 A332008 A152044 * A041470 A041472 A041474

Adjacent sequences: A041465 A041466 A041467 * A041469 A041470 A041471

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 08 2013

Status

approved