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A041790
Numerators of continued fraction convergents to sqrt(416).
2
20, 41, 61, 102, 979, 1081, 2060, 5201, 210100, 425401, 635501, 1060902, 10183619, 11244521, 21428140, 54100801, 2185460180, 4425021161, 6610481341, 11035502502, 105930003859, 116965506361, 222895510220, 562756526801, 22733156582260, 46029069691321
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,10402,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^15 -20*x^14 +41*x^13 -61*x^12 +102*x^11 -979*x^10 +1081*x^9 -2060*x^8 -5201*x^7 -2060*x^6 -1081*x^5 -979*x^4 -102*x^3 -61*x^2 -41*x -20) / ((x^4 -10*x^2 -1)*(x^4 +10*x^2 -1)*(x^8 +102*x^4 +1)). - Colin Barker, Nov 24 2013
MATHEMATICA
Numerator[Convergents[Sqrt[416], 30]] (* Vincenzo Librandi, Nov 09 2013 *)
CROSSREFS
Sequence in context: A270296 A338433 A347368 * A041788 A041786 A195148
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 24 2013
STATUS
approved