

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, 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
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OFFSET

0,4


COMMENTS

Eigentriangle, row sums = A006012
Row sums = A006012: (1, 2, 6, 20, 68, 232,...).
Sum of nth 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

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



