A041136 Numerators of continued fraction convergents to sqrt(77).

8, 9, 35, 79, 272, 351, 5888, 6239, 24605, 55449, 190952, 246401, 4133368, 4379769, 17272675, 38925119, 134048032, 172973151, 2901618448, 3074591599, 12125393245, 27325378089, 94101527512

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,702,0,0,0,0,0,-1).

Formula

a(n) = 702*a(n-6)-a(n-12). G.f.: -(x^11-8*x^10+9*x^9-35*x^8+79*x^7-272*x^6-351*x^5-272*x^4-79*x^3-35*x^2-9*x-8)/((x^4-9*x^2+1)*(x^8+9*x^6+80*x^4+9*x^2+1)). [Colin Barker, Jul 18 2012]

Mathematica

Numerator[Convergents[Sqrt[77], 30]] (* Vincenzo Librandi, Oct 26 2013 *)

Crossrefs

Cf. A010529, A041137.

Sequence in context: A306162 A050771 A120776 * A041915 A036764 A129548

Adjacent sequences: A041133 A041134 A041135 * A041137 A041138 A041139

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved