OFFSET
0,2
COMMENTS
For a guide to related sequences, see A211422.
FORMULA
Conjectures from Colin Barker, May 15 2017: (Start)
G.f.: (1 + x + 4*x^3 + x^5 + x^6) / ((1 - x)^3*(1 + x + x^2 + x^3 + x^4)).
a(n) = 2*a(n-1) - a(n-2) + a(n-5) - 2*a(n-6) + a(n-7) for n > 6. (End)
Conjecture: a(n) ~ 4*n^2/5. - Stefano Spezia, Oct 17 2022
MATHEMATICA
t[n_] := t[n] = Flatten[Table[w + 4 x + 5 y, {w, -n, n}, {x, -n, n}, {y, -n, n}]]
c[n_] := Count[t[n], 0]
t = Table[c[n], {n, 0, 70}] (* A211435 *)
(t - 1)/2 (* integers *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Apr 11 2012
STATUS
approved