A042459 - OEIS

A042459

Denominators of continued fraction convergents to sqrt(757).

1, 1, 2, 35, 37, 220, 1137, 1357, 24206, 25563, 49769, 2713089, 2762858, 5475947, 95853957, 101329904, 602503477, 3113847289, 3716350766, 66291810311, 70008161077, 136299971388, 7430206616029, 7566506587417, 14996713203446, 262510631045999, 277507344249445

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

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, 2738652, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

FORMULA

G.f.: -(x^20 -x^19 +2*x^18 -35*x^17 +37*x^16 -220*x^15 +1137*x^14 -1357*x^13 +24206*x^12 -25563*x^11 +49769*x^10 +25563*x^9 +24206*x^8 +1357*x^7 +1137*x^6 +220*x^5 +37*x^4 +35*x^3 +2*x^2 +x +1) / (x^22 +2738652*x^11 -1). - Colin Barker, Dec 14 2013

a(n) = 2738652*a(n-11) + a(n-22) for n>21. - Vincenzo Librandi, Jan 22 2014

MATHEMATICA

Denominator[Convergents[Sqrt[757], 30]] (* Harvey P. Dale, Apr 06 2013 *)

CROSSREFS

Cf. A042458, A040729.

Sequence in context: A077747 A041012 A291162 * A276713 A257601 A282727

Adjacent sequences: A042456 A042457 A042458 * A042460 A042461 A042462

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 14 2013

STATUS

approved