A143864 Eigentriangle of A055461 (square subsequences decrescendo).

1, 4, 1, 9, 4, 5, 16, 9, 20, 18, 25, 16, 45, 72, 63, 36, 25, 80, 162, 252, 221, 49, 36, 125, 288, 567, 884, 776, 64, 49, 180, 450, 1008, 1989, 3104, 2725, 81, 64, 245, 648, 1575, 3536, 6984, 10900, 9569

Offset: 1

Author

Gary W. Adamson, Sep 04 2008

Keywords

• nonn
• tabl

Comments

Row sums A033453: (1, 5, 18, 63, 221, 776, 2725,...); the shifted right border. Sum of row n terms = rightmost term of next row.

Examples

			First few rows of the triangle =
1;
4, 1;
9, 4, 5;
16, 9, 20, 18;
25, 16, 45, 72, 63;
36, 25, 80, 162, 252, 221;
49, 36, 125, 288, 567, 884, 776;
...
Row 3 = (9, 4, 5) = termwise product of (9, 4, 1) and (1, 1, 5) (9*1, 4*1, 1*5).
		

Crossrefs

Cf. A055461, A033453.

Formula

A055461 (squares decrescendo triangle) * (A033453 * 0^(n-k)); 1<=k<=1; where (A033453 * 0^(n-k)) = an infinite lower triangular matrix with the INVERT transform of the squares as the main diagonal, starting: (1, 1, 5, 18, 63, 221, 776,...) and the rest zeros.