OFFSET
0,4
COMMENTS
Row sums are {0, 2, 6, 12, 22, 40, 72, 126, 214, 360, 620,...}.
FORMULA
T(n,m)=binomial(n, 2^m) + binomial(n, 2^(n - m)) = T(n,n-m).
EXAMPLE
{0},
{1, 1},
{2, 2, 2},
{3, 3, 3, 3},
{4, 6, 2, 6, 4},
{5, 10, 5, 5, 10, 5},
{6, 15, 15, 0, 15, 15, 6},
{7, 21, 35, 0, 0, 35, 21, 7},
{8, 28, 70, 1, 0, 1, 70, 28, 8},
{9, 36, 126, 9, 0, 0, 9, 126, 36, 9},
{10, 45, 210, 45, 0, 0, 0, 45, 210, 45, 10}
MATHEMATICA
t[n_, m_] = Binomial[n, 2^m] + Binomial[n, 2^(n - m)];
Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}];
Flatten[%]
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Roger L. Bagula, Mar 08 2009
EXTENSIONS
Edited by the Associate Editors of the OEIS, Apr 10 2009
STATUS
approved