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

0,4

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.

Links

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

Example

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.

Sequence in context: A204003 A085194 A193789 * A152229 A238388 A074308

Adjacent sequences: A152249 A152250 A152251 * A152253 A152254 A152255

Keyword

eigen,nonn,tabl

Author

Gary W. Adamson, Nov 30 2008

Status

approved