A163946 Triangle read by rows, A033184 * A091768 (diagonalized as an infinite lower triangular matrix).

1, 1, 1, 2, 2, 2, 5, 5, 6, 6, 14, 14, 18, 24, 22, 42, 42, 56, 84, 110, 92, 132, 132, 180, 288, 440, 552, 426, 429, 429, 594, 990, 1650, 2484, 2982, 2150, 1430, 1430, 2002, 3432, 6050, 10120, 14910, 17200, 11708, 4862, 4862, 6864, 12012, 22022, 39468, 65604, 94600, 105372, 68282

Offset: 0

Author

Gary W. Adamson, Aug 06 2009

Keywords

• nonn
• tabl

Comments

As an eigentriangle, equals A033184 * the diagonalized version of its eigensequence. (the eigensequence of triangle A033184 = A091768).

Right border = A091768, left border = Catalan sequence A000108.

Sum of n-th row terms = rightmost term of next row.

Examples

			First few rows of the triangle =
  1;
  1, 1;
  2, 2, 2;
  5, 5, 6, 6;
  14, 14, 18, 24, 22;
  42, 42, 56, 84, 110, 92;
  132, 132, 180, 288, 440, 552, 426;
  429, 429, 594, 990, 1650, 2484, 2982, 2150;
  1430, 1430, 2002, 3432, 6050, 10120, 14910, 17200, 11708;
  4862, 4862, 6864, 12012, 22022, 39468, 65604, 94600, 105372, 68282;
  ...
Row 3 = (5, 5, 6, 6) = (5, 5, 3, 1) * (1, 1, 2, 6); where (5, 5, 3, 1) = row 3 of triangle A033184 and (1, 1, 2, 6) = the first 3 terms of A091768 prefaced with a 1.
		

Crossrefs

Cf. A033184, A091768, A000108, A071721.

Formula

Triangle read by rows, A033184 * A091768 (diagonalized such that the right border = (1, 1, 2, 6, 22, 92, 426, 2150,...) i.e. A091768 prefaced with a 1; with the rest zeros).