OFFSET
0,2
COMMENTS
The fifth column (m=4) gives [1, 8, 160, 3200, 64000, 1280000, 25600000, ...].
LINKS
Indranil Ghosh, Rows 0..125, flattened
FORMULA
T(n,m) = 1 if n = m; T(n,m) = (m+4)*(4*(m+1))^(n-m-1) if n > m >= 0, else 0.
G.f. for column m: (x^m)*(1-3*m*x)/(1-4*(m+1)*x).
EXAMPLE
Triangle starts:
1;
4, 1;
16, 5, 1;
64, 40, 6, 1;
...
MATHEMATICA
A067425[n_, m_] := If[n == m, 1, (m + 4)*(4*(m + 1))^(n - m - 1)];
Table[A067425[n, m], {n, 0, 10}, {m, 0, n}] (* Paolo Xausa, Oct 16 2024 *)
CROSSREFS
KEYWORD
AUTHOR
Wolfdieter Lang, Jan 25 2002
STATUS
approved