OFFSET
1,1
REFERENCES
F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Ars Combin. 49 (1998), 129-154.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 1..500
F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Preliminary version of paper that appeared in Ars Combin. 49 (1998), 129-154.
F. Faase, Results from the counting program
Index entries for linear recurrences with constant coefficients, signature (76,-76,1).
FORMULA
a(n) = 76*a(n-1) - 76*a(n-2) + a(n-3), n > 3.
G.f.: -x*(x^2-75*x+56)/((x-1)*(x^2-75*x+1)). - Colin Barker, Aug 30 2012
MATHEMATICA
CoefficientList[Series[-(x^2 - 75 x + 56)/((x - 1) (x^2 - 75 x + 1)), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 14 2013 *)
PROG
(Magma) I:=[56, 4181, 313501]; [n le 3 select I[n] else 76*Self(n-1)-76*Self(n-2)+Self(n-3): n in [1..20]]; // Vincenzo Librandi, Oct 14 2013
(PARI) Vec(-x*(x^2-75*x+56)/((x-1)*(x^2-75*x+1))+O(x^99)) \\ Charles R Greathouse IV, Jun 23 2020
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved