OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,15486,0,0,0,-1).
FORMULA
G.f.: (25 + 176*x + 1081*x^2 + 7743*x^3 + 1081*x^4 - 176*x^5 + 25*x^6 - x^7)/(1 - 15486*x^4 + x^8). - Vincenzo Librandi, Nov 19 2013
a(n) = 15486*a(n-4) - a(n-8). - Vincenzo Librandi, Nov 19 2013
MATHEMATICA
Numerator[Convergents[Sqrt[632], 20]] (* Harvey P. Dale, Aug 06 2013 *)
CoefficientList[Series[(25 + 176 x + 1081 x^2 + 7743 x^3 + 1081 x^4 - 176 x^5 + 25 x^6 - x^7)/(1 - 15486 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 19 2013 *)
PROG
(Magma) I:=[25, 176, 1081, 7743, 388231, 2725360, 16740391, 119908097]; [n le 8 select I[n] else 15486*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Nov 19 2013
CROSSREFS
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved