OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,24302,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^18 -x^17 +2*x^16 -3*x^15 +14*x^14 -87*x^13 +362*x^12 -449*x^11 +811*x^10 -1260*x^9 -811*x^8 -449*x^7 -362*x^6 -87*x^5 -14*x^4 -3*x^3 -2*x^2 -x -1) / (x^20 -24302*x^10 +1). - Colin Barker, Nov 14 2013
a(n) = 24302*a(n-10) - a(n-20). - Vincenzo Librandi, Dec 12 2013
MATHEMATICA
Denominator[Convergents[Sqrt[93], 30]] (* Vincenzo Librandi, Dec 12 2013 *)
PROG
(Magma) I:=[1, 1, 2, 3, 14, 87, 362, 449, 811, 1260, 23491, 24751, 48242, 72993, 340214, 2114277, 8797322, 10911599, 19708921, 30620520]; [n le 20 select I[n] else 24302*Self(n-10)-Self(n-20): n in [1..40]]; // Vincenzo Librandi, Dec 12 2013
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 14 2013
STATUS
approved