A042520 Numerators of continued fraction convergents to sqrt(789).

28, 309, 1264, 1573, 2837, 7247, 24578, 31825, 438303, 1346734, 1785037, 4916808, 90287581, 185491970, 275779551, 1012830623, 13442577650, 14455408273, 56808802469, 128073013211, 184881815680

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, 32233334545150, 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) = 32233334545150*a(n-24) - a(n-48) for n>47. [Bruno Berselli, Nov 26 2013]

Mathematica

Numerator[Convergents[Sqrt[789], 30]] (* Vincenzo Librandi, Nov 25 2013 *)

Crossrefs

Cf. A042521.

Sequence in context: A219172 A334882 A196513 * A022688 A125416 A241038

Adjacent sequences: A042517 A042518 A042519 * A042521 A042522 A042523

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved