OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,4898,0,0,0,-1).
FORMULA
G.f.: (23 +70*x +793*x^2 +2449*x^3 +793*x^4 -70*x^5 +23*x^6 -x^7) / ((1 -70*x^2 +x^4)*(1 +70*x^2 +x^4)). - Vincenzo Librandi, Nov 13 2013
a(n) = 4898*a(n-4) - a(n-8). - Vincenzo Librandi, Nov 14 2013
MATHEMATICA
Numerator[Convergents[Sqrt[544], 30]] (* or *) CoefficientList[Series[(23 + 70 x + 793 x^2 + 2449 x^3 + 793 x^4 - 70 x^5 + 23 x^6 - x^7)/(1 - 4898 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 14 2013 *)
LinearRecurrence[{0, 0, 0, 4898, 0, 0, 0, -1}, {23, 70, 793, 2449, 113447, 342790, 3884137, 11995201}, 20] (* Harvey P. Dale, Jul 27 2020 *)
PROG
(Magma) I:=[23, 70, 793, 2449, 113447, 342790, 3884137, 11995201]; [n le 8 select I[n] else 4898*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Nov 14 2013
CROSSREFS
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
STATUS
approved