[go: up one dir, main page]

login
A041262
Numerators of continued fraction convergents to sqrt(143).
2
11, 12, 275, 287, 6589, 6876, 157861, 164737, 3782075, 3946812, 90611939, 94558751, 2170904461, 2265463212, 52011095125, 54276558337, 1246095378539, 1300371936876, 29854277989811, 31154649926687
OFFSET
0,1
FORMULA
G.f.: (11+12*x+11*x^2-x^3)/(1-24*x^2+x^4). - Vincenzo Librandi, Nov 01 2013
a(n) = 24*a(n-2)-a(n-4). - Vincenzo Librandi, Nov 01 2013
MATHEMATICA
Numerator[Convergents[Sqrt[143], 30]] (* or *) CoefficientList[Series[(11 + 12 x + 11 x^2 - x^3)/(1 - 24 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 31 2013 *)
PROG
(Magma) I:=[11, 12, 275, 287]; [n le 4 select I[n] else 24*Self(n-2)-Self(n-4): n in [1..25]]; // Vincenzo Librandi, Nov 01 2013
CROSSREFS
Cf. A041263.
Sequence in context: A041260 A109665 A041261 * A262515 A041607 A042097
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved