A041964 Numerators of continued fraction convergents to sqrt(505).

22, 45, 382, 809, 35978, 72765, 618098, 1308961, 58212382, 117733725, 1000082182, 2117898089, 94187598098, 190493094285, 1618132352378, 3426757799041, 152395475510182, 308217708819405, 2618137146065422

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,1618,0,0,0,-1).

Formula

G.f.: (1 + x)*(22 + 23*x + 359*x^2 + 450*x^3 - 68*x^4 + 23*x^5 - x^6)/(1 - 1618*x^4 + x^8). [Bruno Berselli, Nov 12 2013]

Mathematica

Numerator[Convergents[Sqrt[505], 30]] (* Vincenzo Librandi, Nov 12 2013 *)

Crossrefs

Cf. A041965.

Sequence in context: A041960 A041958 A041962 * A041966 A350321 A106838

Adjacent sequences: A041961 A041962 A041963 * A041965 A041966 A041967

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved