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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 (list; table; graph; refs; listen; history; text; internal format)
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

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

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Last modified June 22 04:06 EDT 2021. Contains 345367 sequences. (Running on oeis4.)