A330141 Triangle read by rows: binomial transform of triangle A330140.

1, 1, 1, 1, 2, 2, 1, 3, 7, 4, 1, 4, 17, 20, 9, 1, 5, 36, 65, 60, 21, 1, 6, 72, 176, 249, 176, 51, 1, 7, 141, 434, 833, 889, 518, 127, 1, 8, 275, 1016, 2470, 3528, 3094, 1520, 323, 1, 9, 538, 2307, 6795, 12150, 14232, 10494, 4461, 835

Offset: 0

Author

Gary W. Adamson, Dec 02 2019

Keywords

• nonn
• tabl

Comments

Row sums = the binomial transform of the Catalan numbers, A007317.

Right border = the Motzkin numbers, A001006.

Examples

			First few rows of the triangle are:
  1;
  1,   1;
  1,   2,   2;
  1,   3,   7,   4;
  1,   4,  17,  20,   9;
  1,   5,  36,  65,  60,  21;
  1,   6,  72, 176, 249, 176,  51;
  1,   7, 141, 434, 833, 889, 518, 127;
  ...
		

Crossrefs

Cf. A330140, A007317, A007318, A001006.