A152252 Triangle read by rows, M*Q, where M = an infinite lower triangular matrix with powers of 3 prefaced by a 1 in every row: (1, 1, 3, 9, 27, ...) and Q = a matrix with A006012 prefaced by a 1 as the main diagonal and the rest zeros.

1, 1, 1, 3, 1, 2, 9, 3, 2, 6, 27, 9, 6, 6, 20, 81, 27, 18, 18, 20, 68, 243, 81, 54, 54, 60, 68, 232, 729, 243, 162, 162, 180, 204, 232, 792, 2187, 729, 486, 486, 540, 612, 696, 792, 2704, 6561, 2187, 1458, 1458, 1620, 1836, 2088, 2376, 2704, 9232

Offset: 0

Author

Gary W. Adamson, Nov 30 2008

Keywords

• eigen
• nonn
• tabl

Comments

Eigentriangle, row sums = A006012

Row sums = A006012: (1, 2, 6, 20, 68, 232, ...).

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

Examples

			First few rows of the triangle:
     1;
     1,   1;
     3,   1,   2;
     9,   3,   2,   6;
    27,   9,   6,   6,  20;
    81,  27,  18,  18,  20,  68;
   243,  81,  54,  54,  60,  68, 232;
   729, 243, 162, 162, 180, 204, 232, 792;
  2187, 729, 846, 486, 540, 612, 696, 792, 2704;
  ...
Row 3 = (9, 3, 2, 6) = termwise products of (9, 3, 1, 1) and (1, 1, 2, 6).
		

Crossrefs

Cf. A006012.