A147644 Triangle read by rows: t(n,m)=Binomial[n, m] + If[n > 2, 2*Binomial[n - 2, m - 1], 0]; Mod[If[n > 2, 2*Binomial[n - 2, m - 1], 0],2]=0.

1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 6, 10, 6, 1, 1, 7, 16, 16, 7, 1, 1, 8, 23, 32, 23, 8, 1, 1, 9, 31, 55, 55, 31, 9, 1, 1, 10, 40, 86, 110, 86, 40, 10, 1, 1, 11, 50, 126, 196, 196, 126, 50, 11, 1, 1, 12, 61, 176, 322, 392, 322, 176, 61, 12

Offset: 0

Author

Roger L. Bagula, Nov 09 2008

Keywords

• nonn
• tabl

Comments

Row sums are:{1, 2, 4, 12, 24, 48, 96, 192, 384, 768, 1536,...}

Examples

			{1}, {1, 1}, {1, 2, 1}, {1, 5, 5, 1}, {1, 6, 10, 6, 1}, {1, 7, 16, 16, 7, 1}, {1, 8, 23, 32, 23, 8, 1}, {1, 9, 31, 55, 55, 31, 9, 1}, {1, 10, 40, 86, 110, 86, 40, 10, 1}, {1, 11, 50, 126, 196, 196, 126, 50, 11, 1}, {1, 12, 61, 176, 322, 392, 322, 176, 61, 12, 1}
		

Crossrefs

A146986, A146987, A028262

Programs

Mathematica

Table[Table[Binomial[n, m] + If[n > 2, 2*Binomial[n - 2, m - 1], 0], {m, 0, n}], {n, 0, 10}]; Flatten[%]