A041670 Numerators of continued fraction convergents to sqrt(354).

18, 19, 94, 207, 508, 9351, 19210, 47771, 210294, 258065, 9500634, 9758699, 48535430, 106829559, 262194548, 4826331423, 9914857394, 24656046211, 108539042238, 133195088449, 4903562226402, 5036757314851, 25050591485806, 55137940286463, 135326472058732

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, 516130, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 516130*a(n-10) - a(n-20) for n>19. [Bruno Berselli, Nov 06 2013]

G.f.: -(x^19 -18*x^18 +19*x^17 -94*x^16 +207*x^15 -508*x^14 +9351*x^13 -19210*x^12 +47771*x^11 -210294*x^10 -258065*x^9 -210294*x^8 -47771*x^7 -19210*x^6 -9351*x^5 -508*x^4 -207*x^3 -94*x^2 -19*x -18) / (x^20 -516130*x^10 +1). - Colin Barker, Nov 21 2013

Mathematica

Numerator[Convergents[Sqrt[354], 30]] (* Vincenzo Librandi, Nov 06 2013 *)

Crossrefs

Cf. A041671, A040335.

Sequence in context: A257314 A041668 A041666 * A041672 A041674 A041676

Adjacent sequences: A041667 A041668 A041669 * A041671 A041672 A041673

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Nov 21 2013

Status

approved