OFFSET
1,2
COMMENTS
Row n consists of 2n-1 positive integers having sum A000575(n) = n^3.
EXAMPLE
First eight rows:
1
2 4 2
3 8 10 4 2
4 12 18 16 8 4 2
5 16 26 28 24 12 8 4 2
6 20 34 40 40 32 18 12 8 4 2
7 24 42 52 56 52 42 24 18 12 8 4 2
8 28 50 64 72 72 66 52 32 24 18 12 8 4 2
MATHEMATICA
t[n_] := t[n] = Tuples[Range[n], 3];
a[n_, k_] := Select[t[n], Abs[#[[1]] - #[[2]]] + Abs[#[[2]] - #[[3]]] == k &];
u = Table[Length[a[n, k]], {n, 1, 15}, {k, 0, 2 n - 2}];
Flatten[u] (* sequence *)
Column[u] (* array *)
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Clark Kimberling, Dec 25 2023
STATUS
approved