login
A041192
Numerators of continued fraction convergents to sqrt(107).
3
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
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
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved