OFFSET
1,2
COMMENTS
EXAMPLE
Northwest corner:
1...5...16...36...69...117...184
1...5...16...36...69...119...190
1...5...16...38...73...123...194
1...5...16...38...75...131...204
1...5...16...38...75...131...210
MATHEMATICA
z = 48;
t[k_, n_] := Module[{s = 0},
(Do[If[2 w^k <= x^k + y^k, s = s + 1],
{w, 1, #}, {x, 1, #}, {y, 1, #}] &[n]; s)];
Table[t[1, n], {n, 1, z}] (* A055232 *)
Table[t[2, n], {n, 1, z}] (* A211806 *)
Table[t[3, n], {n, 1, z}] (* A211807 *)
TableForm[Table[t[k, n], {k, 1, 12}, {n, 1, 16}]]
Flatten[Table[t[k, n - k + 1],
{n, 1, 12}, {k, 1, n}]] (* A211808 *)
Table[k (4 k^2 - 3 k + 5)/6,
{k, 1, z}] (* row-limit sequence, A174723 *)
(* Peter J. C. Moses, Apr 13 2012 *)
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Apr 22 2012
STATUS
approved