A181105 Triangle T(n,k) read by rows. T(n,k)=abs(A181101)*n/k.

1, 2, 0, 3, 0, 0, 0, 2, 0, 0, 5, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0

Offset: 1

Author

Mats Granvik, Gary W. Adamson, Oct 03 2010

Keywords

• nonn
• tabl

Comments

Let A=T(n,k)*T(n,k), B=A*A, C=B*B, D=C*C, and so on. Then the first column in the last matrix (D) converges to the natural numbers. Rows sums are (unsurprisingly) A020639. Except for the first column, the largest and last element in the columns are also A020639.

Examples

			Triangle starts:
1,
2,0,
3,0,0,
0,2,0,0,
5,0,0,0,0,
0,0,2,0,0,0,
7,0,0,0,0,0,0,
0,0,0,2,0,0,0,0,
0,0,3,0,0,0,0,0,0,
0,0,0,0,2,0,0,0,0,0,
11,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,2,0,0,0,0,0,0,
13,0,0,0,0,0,0,0,0,0,0,0,0,
		

Crossrefs

Cf. A181101, A020639.