A042628 Numerators of continued fraction convergents to sqrt(844).

29, 552, 1133, 1685, 9558, 11243, 43287, 54530, 97817, 152347, 250164, 402511, 1055186, 6733627, 7788813, 61255318, 130299449, 452153665, 1034606779, 2521367223, 28769646232, 117599952151, 146369598383

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 309924629320335257289998, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 309924629320335257289998*a(n-48) - a(n-96) for n>95. [Bruno Berselli, Nov 30 2013]

Mathematica

Numerator[Convergents[Sqrt[844], 30]] (* Vincenzo Librandi, Nov 30 2013 *)

Crossrefs

Cf. A042629.

Sequence in context: A028070 A028002 A028008 * A028001 A024772 A028051

Adjacent sequences: A042625 A042626 A042627 * A042629 A042630 A042631

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved