OFFSET
0,2
LINKS
Indranil Ghosh, Rows 0..125, flattened
FORMULA
a(n, m) = 1 if n = m; a(n, m) = (m+3)*(3*(m+1))^(n-m-1) if n > m >= 0.
G.f. for column m: (x^m)*(1-2*m*x)/(1-3*(m+1)*x).
EXAMPLE
Triangle starts:
1;
3, 1;
9, 4, 1;
27, 24, 5, 1;
...
MATHEMATICA
A[n_, m_]:=If[n==m, 1, (m+3)(3(m+1))^(n-m-1)]; Flatten[Table[A[n, m], {n, 0, 9}, {m, 0, n}]] (* Stefano Spezia, Sep 30 2022 *)
CROSSREFS
KEYWORD
AUTHOR
Wolfdieter Lang, Jan 25 2002
STATUS
approved