OFFSET
0,3
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..1000
B. A. Huberman and T. Hogg, Complexity and adaptation, Evolution, games and learning (Los Alamos, N.M., 1985). Phys. D 22 (1986), no. 1-3, 376-384.
Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).
FORMULA
G.f.: (5*x^5+57*x^4+120*x^3+75*x^2+14*x+1)*x / (x-1)^8.
a(n) = (272*n^7+273*n^6+749*n^5+1365*n^4+1043*n^3+882*n^2+456*n)/7!.
MAPLE
a:= n-> ((((((272*n+273)*n+749)*n+1365)*n+1043)*n+882)*n+456)*n/7!:
seq(a(n), n=0..40);
MATHEMATICA
LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 1, 22, 223, 1344, 5727, 19193, 54046}, 30] (* Harvey P. Dale, Oct 16 2017 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Jul 28 2017
STATUS
approved