A041828 Numerators of continued fraction convergents to sqrt(435).

20, 21, 125, 146, 5965, 6111, 36520, 42631, 1741760, 1784391, 10663715, 12448106, 508587955, 521036061, 3113768260, 3634804321, 148505941100, 152140745421, 909209668205, 1061350413626, 43363226213245, 44424576626871, 265486109347600, 309910685974471

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, 292, 0, 0, 0, -1).

Formula

G.f.: -(x^7-20*x^6+21*x^5-125*x^4-146*x^3-125*x^2-21*x-20) / (x^8-292*x^4+1). - Colin Barker, Nov 25 2013

Mathematica

Numerator[Convergents[Sqrt[435], 30]] (* Vincenzo Librandi, Nov 09 2013 *)

Crossrefs

Cf. A041829, A040414.

Sequence in context: A041824 A309829 A037308 * A041830 A041832 A082260

Adjacent sequences: A041825 A041826 A041827 * A041829 A041830 A041831

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 25 2013

Status

approved