A041970 Numerators of continued fraction convergents to sqrt(508).

22, 23, 45, 248, 293, 4350, 22043, 26393, 48436, 171701, 735240, 906941, 2549122, 3456063, 6005185, 9461248, 100617665, 110078913, 210696578, 320775491, 852247560, 1173023051, 5544339764, 17806042343

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 89515213717502, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 89515213717502*a(n-32) - a(n-64) for n>63. [Bruno Berselli, Nov 12 2013]

Mathematica

Numerator[Convergents[Sqrt[508], 30]] (* Vincenzo Librandi, Nov 12 2013 *)

Crossrefs

Cf. A041971.

Sequence in context: A041980 A041974 A041972 * A041968 A041986 A041988

Adjacent sequences: A041967 A041968 A041969 * A041971 A041972 A041973

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved