A041072 Numerators of continued fraction convergents to sqrt(43).

6, 7, 13, 46, 59, 341, 400, 1541, 1941, 3482, 43725, 47207, 90932, 320003, 410935, 2374678, 2785613, 10731517, 13517130, 24248647, 304500894, 328749541, 633250435, 2228500846, 2861751281, 16537257251

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Les Tablettes du Chercheur, Problem 364, pp. 11, Mai 15 1891

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,6964,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -6*x^18 +7*x^17 -13*x^16 +46*x^15 -59*x^14 +341*x^13 -400*x^12 +1541*x^11 -1941*x^10 -3482*x^9 -1941*x^8 -1541*x^7 -400*x^6 -341*x^5 -59*x^4 -46*x^3 -13*x^2 -7*x -6) / (x^20 -6964*x^10 +1). - Colin Barker, Nov 04 2013

Mathematica

Numerator[Convergents[Sqrt[43], 30]] (* Vincenzo Librandi, Oct 29 2013 *)

Crossrefs

Cf. A041073, A010497, A010134.

Sequence in context: A128844 A128850 A042025 * A154741 A041999 A041319

Adjacent sequences: A041069 A041070 A041071 * A041073 A041074 A041075

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved