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
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).
Programs
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Mathematica
Numerator[Convergents[Sqrt[250], 30]] (* Vincenzo Librandi, Nov 03 2013 *)
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
Extensions
More terms from Colin Barker, Nov 08 2013