0,4

Row sums = A000041, the partition numbers.

Given triangle A161363, (the inverse of partition triangle A026794); multiply by (-1), delete right border of 1's, and shift down 1 row inserting a "1" at T(0,0); = triangle M. Let Q = an infinite lower triangular matrix with A000041 as the right border and the rest zeros. Triangle A161364 = M * Q.

First few rows of the triangle =

1;

1, 0;

2, 0, 0;

2, 1, 0, 0;

4, 1, 0, 0, 0;

3, 2, 2, 0, 0, 0;

7, 2, 2, 0, 0, 0, 0;

7, 3, 2, 3, 0, 0, 0, 0;

12, 3, 4, 3, 0, 0, 0, 0, 0;

13, 5, 4, 3, 5, 0, 0, 0, 0, 0;

22, 6, 6, 3, 5, 0, 0, 0, 0, 0, 0;

25, 7, 6, 6, 5, 7, 0, 0, 0, 0, 0, 0;

42, 9, 8, 6, 5, 7, 0, 0, 0, 0, 0, 0, 0;

48, 13, 8, 9, 5, 7, 11, 0, 0, 0, 0, 0, 0, 0;

...

A161363, A000041

Sequence in context: A093693 A025436 A134109 this_sequence A143620 A025843 A035437

Adjacent sequences: A161361 A161362 A161363 this_sequence A161365 A161366 A161367

nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 07 2009