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

0,5

Comments

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

Right border = the Motzkin numbers, A001006.

Links

Table of n, a(n) for n=0..54.

Example

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.

Sequence in context: A110564 A210791 A299500 * A007441 A289192 A111933

Adjacent sequences: A330138 A330139 A330140 * A330142 A330143 A330144

Keyword

nonn,tabl

Author

Gary W. Adamson, Dec 02 2019

Status

approved