A152736 Triangle read by rows: M*Q, where M = an infinite lower triangular matrix with A140456 in every column: (1, 1, 1, 3, 7, 23, 71, ...) and Q = a matrix with A000085 as the main diagonal the rest zeros.

1, 1, 1, 1, 1, 2, 3, 1, 2, 4, 7, 3, 2, 4, 10, 23, 7, 6, 4, 10, 26, 71, 23, 14, 12, 10, 26, 76, 255, 71, 46, 28, 30, 26, 76, 232, 911, 255, 142, 92, 70, 78, 76, 232, 764, 3535, 911, 510, 284, 230, 182, 228, 232, 764, 2620

Offset: 1

Author

Gary W. Adamson, Dec 12 2008

Keywords

• eigen
• nonn
• tabl

Comments

An eigentriangle.

Row sums = A000085 starting with offset 1.

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

Examples

			First few rows of the triangle:
      1;
      1,    1;
      1,    1,    2;
      3,    1,    2,    4;
      7,    3,    2,    4,  10;
     23,    7,    6,    4,  10,  26;
     71,   23,   14,   12,  10,  26,  76;
    255,   71,   46,   28,  30,  26,  76, 232;
    911,  255,  142,   92,  70,  78,  76, 232, 764;
   3535,  911,  510,  284, 230, 182, 228, 232, 764, 2620;
  13903, 3535, 1822, 1020, 710, 598, 532, 696, 764, 2620, 9496;
  ...
Row r = (3, 1, 2, 4) = (3*1, 1*1, 1*2, 1*4) = termwise products of (3, 1, 1, 1) and (1, 1, 2, 4), where A000085 = (1, 1, 2, 4, 10, 26, 76, ...).
		

Crossrefs

Cf. A000085, A140456.