A143593 Triangle read by rows, square of A238303 (an infinite lower triangular matrix with 1's in the first column and the rest 2's).

1, 3, 4, 5, 8, 4, 7, 12, 8, 4, 9, 16, 12, 8, 4, 11, 20, 16, 12, 8, 4, 13, 24, 20, 16, 12, 8, 4, 15, 28, 24, 20, 16, 12, 8, 4, 17, 32, 28, 24, 20, 16, 12, 8, 4, 19, 36, 32, 28, 24, 20, 16, 12, 8, 4

Offset: 1

Author

Gary W. Adamson & Roger L. Bagula, Aug 26 2008

Keywords

• nonn
• tabl

Comments

Row sums = A056220 starting with offset 1: (1, 7, 17, 31, 49, 71, 97,...).

Examples

			The square of the infinite lower triangular matrix (1; 1,2; 1,2,2;...) =
1;
3, 4;
5, 8, 4;
7, 12, 8, 4;
9, 16, 12, 8, 4;
11, 20, 16, 12, 8, 4;
13, 24, 20, 16, 12, 8, 4;
...
		

Crossrefs

Cf. A056220, A238303.

Formula

Triangle read by rows, square of an infinite lower triangular matrix with 1's in the first column and the rest 2's. Square of (A000012 * (S(k) * 0^(n-k)), 1<=k<=n