A143814 Triangle T(n,m) read along rows: T(n,m) = n^2 - (m+1)^2 for 1<=m

3, 5, 8, 12, 7, 15, 21, 16, 9, 24, 32, 27, 20, 11, 35, 45, 40, 33, 24, 13, 48, 60, 55, 48, 39, 28, 15, 63, 77, 72, 65, 56, 45, 32, 17, 80, 96, 91, 84, 75, 64, 51, 36, 19, 99, 117, 112, 105, 96, 85, 72, 57, 40, 21, 120, 140, 135, 128, 119, 108, 95, 80, 63, 44, 23, 143

Offset: 2

Author

Paul Curtz, Sep 02 2008

Keywords

• nonn
• easy
• tabl

Comments

The triangle appears taking the entries of A140978,

4;

9,9;

16,16,16;

25,25,25,25;

..

minus the entries of A133819 with the 1's moved to the end of the rows,

1;

4,1;

4,9,1;

4,9,16,1;

4,9,16,25,1;

The result T(n,m) is a variant of A120070, the first term in each row of A120070 transferred to the end of the row.

Examples

			3;
5,8;
12,7,15;
21,16,9,24;
32,27,20,11,35;
		

Crossrefs

Cf. A016061 (row sums).

Programs

Maple

A143814 := proc(n,m) if mA143814(n,m),m=1..n-1),n=2..14) ; # R. J. Mathar, Jan 23 2011