OFFSET
0,8
COMMENTS
FORMULA
T(0, k)=T(n, 0)=1, T(n, k)=nk+0^n, n, k>0
Alternatively, triangle read by rows with formula t(n,m)=If[n == 0 || n == m || m == 0, 1, n - m]*If[n == m || n == 0 || m == 0, 1, m]. - Roger L. Bagula, Sep 06 2008
EXAMPLE
Rows begin
1 1 1 1 1 ...
1 1 2 3 4 ...
1 2 4 6 8 ...
1 3 6 9 12 ...
1 4 8 12 16 ...
As a triangle:
{1},
{1, 1},
{1, 1, 1},
{1, 2, 2, 1},
{1, 3, 4, 3, 1},
{1, 4, 6, 6, 4, 1},
{1, 5, 8, 9, 8, 5, 1},
{1, 6, 10, 12, 12, 10, 6, 1},
{1, 7, 12, 15, 16, 15, 12, 7, 1},
{1, 8, 14, 18, 20, 20, 18, 14, 8, 1},
{1, 9, 16, 21, 24, 25, 24, 21, 16, 9, 1}
MATHEMATICA
t[n_, m_] = If[ n == 0 || n == m || m == 0, 1, n - m]*If[n == m || n == 0 || m == 0, 1, m]; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%] - Roger L. Bagula, Sep 06 2008
CROSSREFS
KEYWORD
AUTHOR
Paul Barry, Jul 21 2003
STATUS
approved