OFFSET
1,2
COMMENTS
EXAMPLE
Northwest corner:
1...5...16...36...69...117...184
1...5...14...32...61...103...162
1...5...14...30...57...99....156
1...5...14...30...55...91....146
1...5...14...30...55...91....140
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}] (* A211803 *)
Table[t[3, n], {n, 1, z}] (* A211804 *)
TableForm[Table[t[k, n], {k, 1, 12}, {n, 1, 16}]]
Flatten[Table[t[k, n - k + 1], {n, 1, 12},
{k, 1, n}]] (* A211805 *)
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 22 2012
STATUS
approved