A041754 Numerators of continued fraction convergents to sqrt(397).

19, 20, 259, 797, 3447, 31820, 35267, 102354, 137621, 377596, 515217, 892813, 2300843, 3193656, 8688155, 11881811, 115624454, 474379627, 1538763335, 18939539647, 20478302982, 797115052963, 817593355945

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, 40956605964, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 40956605964*a(n-21) + a(n-42) for n>41. [Bruno Berselli, Nov 07 2013]

Mathematica

Numerator[Convergents[Sqrt[397], 30]] (* Vincenzo Librandi, Nov 07 2013 *)

Crossrefs

Cf. A041755.

Sequence in context: A041748 A041750 A041752 * A197353 A041179 A041756

Adjacent sequences: A041751 A041752 A041753 * A041755 A041756 A041757

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved