A144254 Eigentriangle by rows, termwise products of A078812 and its eigensequence, A125274.

1, 2, 1, 3, 4, 3, 4, 10, 18, 10, 5, 20, 63, 80, 42, 6, 35, 168, 360, 420, 210, 7, 56, 378, 1200, 2310, 2520, 1199, 8, 84, 756, 3300, 9240, 16380, 16786, 7670, 9, 120, 1386, 7920, 30030, 76440, 125895, 122720, 54224, 10, 165, 2376, 17160, 84084, 286650

Offset: 1

Author

Gary W. Adamson, Sep 16 2008

Keywords

• nonn
• tabl

Comments

Right border A144253 = A125274, the eigensequence of A078812: (1, 1, 3, 10, 42, 210, 1199,...).

Row sums = A125274 shifted.

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

Examples

			First few rows of the triangle =
1;
2, 1;
3, 4, 3;
4, 10, 18, 10;
5, 20, 63, 80, 42;
6, 35, 168, 360, 420, 210;
7, 56, 378, 1200, 2310, 2520, 1199;
...
Triangle A078812 begins:
1;
2, 1;
3, 4, 1;
4, 10, 6, 1;
5, 20, 21, 8, 1;
...
Its eigensequence = A125274: (1, 1, 3, 10, 42, 210, 1199,...).
Row 3 of triangle A144253 = termwise products of (4, 10, 6, 1) and (1, 1, 3, 10) = (4*1, 10*1, 6*3, 1*10).
		

Crossrefs

A078812, Cf. A125274

Formula

Eigensequence by rows, T(n,k) = A078812(n,k) * A125274(k).