A041790 Numerators of continued fraction convergents to sqrt(416).

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

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,10402,0,0,0,0,0,0,0,-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

Cf. A041791, A040395.

Sequence in context: A270296 A338433 A347368 * A041788 A041786 A195148

Adjacent sequences: A041787 A041788 A041789 * A041791 A041792 A041793

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 24 2013

Status

approved