A144464 Triangle T(n,m) read by rows: T(n,m) = 2^min(m,n-m).

1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 4, 2, 1, 1, 2, 4, 4, 2, 1, 1, 2, 4, 8, 4, 2, 1, 1, 2, 4, 8, 8, 4, 2, 1, 1, 2, 4, 8, 16, 8, 4, 2, 1, 1, 2, 4, 8, 16, 16, 8, 4, 2, 1, 1, 2, 4, 8, 16, 32, 16, 8, 4, 2, 1

Offset: 0

Author

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

Keywords

• nonn
• easy
• tabl

Examples

			The triangle starts in row n=0 as:
{1},
{1, 1},
{1, 2, 1},
{1, 2, 2, 1},
{1, 2, 4, 2, 1},
{1, 2, 4, 4, 2, 1},
{1, 2, 4, 8, 4, 2, 1},
{1, 2, 4, 8, 8, 4, 2, 1},
{1, 2, 4, 8, 16, 8, 4, 2, 1},
{1, 2, 4, 8, 16, 16, 8, 4, 2, 1},
{1, 2, 4, 8, 16, 32, 16, 8, 4, 2, 1}
		

Crossrefs

Cf. A004197, A152714, A152716, A152717.

Programs

Mathematica

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

PARI

T(n,m)=1<Charles R Greathouse IV, Jan 15 2012

Formula

Row sums: sum_{m=0..n} T(n,m) = A027383(n).

T(n,k) = 2^A004197(n,k). - Philippe Deléham, Feb 25 2014

Extensions

Offset corrected by the Associate Editors of the OEIS, Sep 11 2009

Better name by Philippe Deléham, Feb 25 2014