A131250 A007318 * A004070.

1, 2, 1, 4, 4, 1, 8, 11, 6, 1, 16, 26, 22, 8, 1, 32, 57, 64, 37, 10, 1, 64, 120, 163, 130, 56, 12, 1, 128, 247, 382, 386, 232, 79, 14, 1, 256, 502, 848, 1024, 794, 378, 106, 16, 1, 512, 1013, 1816, 2510, 2380, 1471, 576, 137, 18, 1

Offset: 0

Author

Gary W. Adamson, Jun 23 2007

Keywords

• nonn
• tabl

Comments

Row sums = A061667: (1, 3, 9, 26, 73, 201, ...).

Companion triangle = A131249 = A007318 * A052509, where A052509 is the reversal of A004070.

Reversal of A097750. - Philippe Deléham, Jan 11 2014

Riordan array (1/(1-2x), x/(1-x)^2). - Philippe Deléham, Jan 11 2014

Diagonal sums are A045623. - Philippe Deléham, Jan 11 2014

Examples

			First few rows of the triangle:
   1;
   2,  1;
   4,  4,  1;
   8, 11,  6,  1;
  16, 26, 22,  8,  1;
  32, 57, 64, 37, 10,  1;
  ...
		

Links

• Filippo Disanto, Some Statistics on the Hypercubes of Catalan Permutations, Journal of Integer Sequences, Vol. 18 (2015), Article 15.2.2 (see Table 2).

Crossrefs

Cf. A004070, A061667, A131249, A007318.

Formula

Binomial transform of A004070.

T(n,k) = 2*T(n-1,k) + T(n-1,k-1) - T(n-2,k), T(0,0)=1, T(n,k)=0 if k < 0 or if k > n. - Philippe Deléham, Jan 11 2014

Extensions

More terms from Philippe Deléham, Jan 11 2014