A145579 Eigentriangle, row sums = A001590.

1, 1, 1, 0, 1, 2, 1, 0, 2, 3, 1, 1, 0, 3, 6, 0, 1, 2, 0, 6, 11, 1, 0, 2, 3, 0, 11, 20, 1, 1, 0, 3, 6, 0, 20, 37, 0, 1, 2, 0, 6, 11, 0, 37, 68, 1, 0, 2, 3, 0, 11, 20, 0, 68, 125

Offset: 3

Author

Gary W. Adamson, Oct 13 2008

Keywords

• nonn
• tabl

Comments

Row sums = A001590 starting (1, 2, 3, 6, 11, 20, 37,...).

Sum of n-th row terms = rightmost term of next row.

Examples

			First few rows of the triangle =
1;
1, 1;
0, 1, 2;
1, 0, 2, 3;
1, 1, 0, 3, 6;
0, 1, 2, 0, 6, 11;
1, 0, 2, 3, 0, 11, 20;
1, 1, 0, 3, 6, 0, 20, 37;
0, 1, 2, 0, 6, 11, 0, 37, 68;
1, 0, 2, 3, 0, 11, 20, 0, 68, 125;
...
Row 7 = (1, 1, 0, 3, 6) = termwise products of (1, 1, 0, 1, 1) and (1, 1, 2, 3, 6).
		

Crossrefs

A001590

Formula

Let M = an infinite lower triangular matrix with (1, 1, 0, 1, 1, 0,...) in every column and X = a diagonalized matrix of A001590: (1, 1, 2, 3, 6, 11, 20, 37,...), (i.e. A001590 starting with offset 3 as a diagonal prefaced with a 1; and the rest zeros). Triangle A145579 = M * X.

Extensions

Alignment of example rows and unintentional concatenation of values fixed by Charles J. Daniels (chajadan(AT)gmail.com), Dec 05 2009