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 (6,-15,20,-15,6,-1).
FORMULA
G.f.: (3*x+1)*(x+1)^2*x / (x-1)^6.
a(n) = (4*n^5+5*n^4+10*n^3+10*n^2+n)/30.
MAPLE
a:= n-> ((((4*n+5)*n+10)*n+10)*n+1)*n/30:
seq(a(n), n=0..40);
MATHEMATICA
LinearRecurrence[{6, -15, 20, -15, 6, -1}, {0, 1, 11, 58, 206, 571}, 40] (* Harvey P. Dale, Aug 22 2019 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Jul 28 2017
STATUS
approved