1,3

Row sums = n, equivalent to the statement that A008683 convolved with A152902 = A000027, the natural numbers. Right border = A152902, left border = A008683.

Triangle read by rows, A152901 * (A152902 * 0^(n-k); where triangle A152901 = a mu(n) "decrescendo" triangle with mu(n), A008683 in every column. (A152902 * 0^(n-k)) = a matrix with A152902 as the main diagonal and the rest zeros.

First few rows of of the triangle =

1;

-1, 3;

-1, -3, 7;

0, -3, -7, 14;

-1, 0, -7, -14, 27;

1, -3, 0, -14, -27, 49;

-1, 3, -7, 0, -27, -49, 88;

0, -3, 7, -14, 0, -49, -88, 155;

0, 0, -7, 14, -27, 0, -88, -155, 272;

1, 0, 0, -14, 27, -49, 0, -155, -272, 472;

-1, 3, 0, 0, -27, 49, -88, 0, -272, -472, 819;

...

Cf. A152901, A152902, A000027, A008683

Sequence in context: A137338 A058659 A053642 this_sequence A122507 A094250 A114972

Adjacent sequences: A152900 A152901 A152902 this_sequence A152904 A152905 A152906

tabl,sign

Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 14 2008