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A041670 Numerators of continued fraction convergents to sqrt(354). 2
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 (list; graph; refs; listen; history; text; internal format)
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 A091832

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

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Last modified August 20 03:33 EDT 2019. Contains 326139 sequences. (Running on oeis4.)