OFFSET
0,2
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, 3307502, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^18 -3*x^17 +4*x^16 -7*x^15 +74*x^14 -1043*x^13 +10504*x^12 -11547*x^11 +22051*x^10 -77700*x^9 -22051*x^8 -11547*x^7 -10504*x^6 -1043*x^5 -74*x^4 -7*x^3 -4*x^2 -3*x -1) / (x^20 -3307502*x^10 +1). - Colin Barker, Nov 26 2013
a(n) = 3307502*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Dec 26 2013
MATHEMATICA
Denominator[Convergents[Sqrt[453], 30]] (* Vincenzo Librandi, Dec 26 2013 *)
PROG
(Magma) I:=[1, 3, 4, 7, 74, 1043, 10504, 11547, 22051, 77700, 3285451, 9934053, 13219504, 23153557, 244755074, 3449724593, 34742001004, 38191725597, 72933726601, 256992905400]; [n le 20 select I[n] else 3307502*Self(n-10)-Self(n-20): n in [1..40]]; // Vincenzo Librandi, Dec 26 2013
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 26 2013
STATUS
approved