OFFSET
1,7
COMMENTS
EXAMPLE
Northwest corner:
0...0...1...4....10...20...35...56
0...1...5...13...26...48...78...119
0...1...5...14...29...53...88...134
0...1...5...14...30...55...90...138
0...1...5...14...30...55...91...139
MATHEMATICA
z = 48;
t[k_, n_] := Module[{s = 0},
(Do[If[w^k > x^k + y^k, s = s + 1],
{w, 1, #}, {x, 1, #}, {y, 1, #}] &[n]; s)];
Table[t[1, n], {n, 1, z}] (* A000292 *)
Table[t[2, n], {n, 1, z}] (* A211637 *)
Table[t[3, n], {n, 1, z}] (* A211651 *)
TableForm[Table[t[k, n], {k, 1, 12}, {n, 1, 16}]]
Flatten[Table[t[k, n - k + 1],
{n, 1, 12}, {k, 1, n}]] (* A211799 *)
Table[k (k - 1) (2 k - 1)/6,
{k, 1, z}] (* row-limit sequence, A000330 *)
(* Peter J. C. Moses, Apr 13 2012 *)
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Apr 21 2012
STATUS
approved