A041192 Numerators of continued fraction convergents to sqrt(107).

10, 21, 31, 300, 331, 962, 19571, 40104, 59675, 577179, 636854, 1850887, 37654594, 77160075, 114814669, 1110492096, 1225306765, 3561105626, 72447419285, 148455944196, 220903363481, 2136586215525, 2357489579006

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1924,0,0,0,0,0,-1).

Formula

a(n) = 1924*a(n-6)-a(n-12). G.f.: -(x^11-10*x^10+21*x^9-31*x^8+300*x^7-331*x^6-962*x^5-331*x^4-300*x^3-31*x^2-21*x-10)/(x^12-1924*x^6+1). [Colin Barker, Jul 19 2012]

Mathematica

Numerator[Convergents[Sqrt[107], 30]] (* Vincenzo Librandi, Oct 26 2013 *)

Crossrefs

Cf. A041193 (denominators), A010173 (continued fraction), A177935 (decimal expansion).

Sequence in context: A042291 A041194 A042871 * A061231 A322828 A104341

Adjacent sequences: A041189 A041190 A041191 * A041193 A041194 A041195

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved