OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,250,0,0,0,-1).
FORMULA
G.f.: -(x^2-x-1)*(x^4+6*x^2+1) / (x^8-250*x^4+1). - Colin Barker, Nov 25 2013
a(n) = 250*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Dec 25 2013
MATHEMATICA
Denominator[Convergents[Sqrt[434], 30]] (* Vincenzo Librandi, Dec 25 2013 *)
LinearRecurrence[{0, 0, 0, 250, 0, 0, 0, -1}, {1, 1, 5, 6, 245, 251, 1249, 1500}, 30] (* Harvey P. Dale, Apr 27 2018 *)
PROG
(Magma) I:=[1, 1, 5, 6, 245, 251, 1249, 1500]; [n le 8 select I[n] else 250*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 25 2013
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 25 2013
STATUS
approved