A144463 Triangle T(n,m) read by rows: T(n,m)= A013609(n,m) if m <= n/2, T(n,m)= T(n,n-m) otherwise.

1, 1, 1, 1, 4, 1, 1, 6, 6, 1, 1, 8, 24, 8, 1, 1, 10, 40, 40, 10, 1, 1, 12, 60, 160, 60, 12, 1, 1, 14, 84, 280, 280, 84, 14, 1, 1, 16, 112, 448, 1120, 448, 112, 16, 1, 1, 18, 144, 672, 2016, 2016, 672, 144, 18, 1, 1, 20, 180, 960, 3360, 8064, 3360, 960, 180, 20, 1

Offset: 0

Author

Roger L. Bagula and Gary W. Adamson, Oct 09 2008

Keywords

• nonn
• tabl
• easy

Comments

Row sums are 1, 2, 6, 14, 42, 102, 306, 758, 2274, 5702, 17106,...

Examples

			T(n,m) = 2^m*binomial(n,m) if 0 <= m <= n/2, T(n,m)= 2^(n-m)*binomial(n,m) if n/2 <= m <= n.
1;
1, 1;
1, 4, 1;
1, 6, 6, 1;
1, 8, 24, 8, 1;
1, 10, 40, 40, 10, 1;
1, 12, 60, 160, 60, 12, 1;
1, 14, 84, 280, 280, 84, 14, 1;
1, 16, 112, 448, 1120, 448, 112, 16, 1;
1, 18, 144, 672, 2016, 2016, 672, 144, 18, 1;
1, 20, 180, 960, 3360, 8064, 3360, 960, 180, 20, 1;
		

Programs

Mathematica

Clear[f, t]; f[n_, m_] = If[m <= Floor[n/2], m, n - m]; t[n_, m_] = Binomial[n, m]*2^f[n, m]; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%]

Extensions

Offset corrected, keyword:tabl inserted by the Assoc. Eds. of the OEIS, Jun 30 2010