OFFSET
0,5
LINKS
Indranil Ghosh, Rows 0..125, flattened
FORMULA
a(n, m) = 1 if n=m; a(n, m) = (2*m+1)*(m+1)^(2*(n-m-1)) if n>m>=0.
G.f. for column m: (x^m)*(1-x*m^2)/(1-x*(m+1)^2).
EXAMPLE
Triangle starts:
m=0 1 2 3 4
n=0: 1;
n=1: 1, 1;
n=2: 1, 3, 1;
n=3: 1, 12, 5, 1;
n=4: 1, 48, 45, 7, 1;
...
MATHEMATICA
A[n_, m_]:=If[n==m, 1, (2m+1)(m+1)^(2(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
EXTENSIONS
More terms from Larry Reeves (larryr(AT)acm.org), Jun 11 2002
STATUS
approved