OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,177610,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^18 -x^17 +3*x^16 -16*x^15 +19*x^14 -282*x^13 +301*x^12 -1787*x^11 +3875*x^10 -5662*x^9 -3875*x^8 -1787*x^7 -301*x^6 -282*x^5 -19*x^4 -16*x^3 -3*x^2 -x -1) / (x^20 -177610*x^10 +1). - Colin Barker, Nov 18 2013
a(n) = 177610*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Dec 18 2013
MATHEMATICA
Denominator[Convergents[Sqrt[246], 30]] (* Vincenzo Librandi, Dec 18 2013 *)
PROG
(Magma) I:=[1, 1, 3, 16, 19, 282, 301, 1787, 3875, 5662, 173735, 179397, 532529, 2842042, 3374571, 50086036, 53460607, 317389071, 688238749, 1005627820]; [n le 20 select I[n] else 177610*Self(n-10)-Self(n-20): n in [1..40]]; // Vincenzo Librandi, Dec 18 2013
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 18 2013
STATUS
approved