A082019 Diagonal of square array T(n,k) with T(1,1) = 1 where antidiagonals are filled alternating upwards and downwards with the smallest number not already used such that the n-th antidiagonal sum is a multiple of n.

1, 5, 12, 25, 41, 60, 85, 112, 145, 180, 221, 264, 313, 365, 420, 481, 544, 613, 684, 761, 840, 925, 1012, 1105, 1200, 1301, 1404, 1513, 1624, 1741, 1860, 1985, 2112, 2245, 2380, 2521, 2664, 2813, 2964, 3121, 3281, 3444, 3613, 3784, 3961, 4140, 4325, 4512

Offset: 1

Author

Amarnath Murthy, Apr 05 2003

Keywords

• nonn

Examples

			T(n,k) begins:
1,   2,  7,  6, 18, 15, ...
4,   5,  8, 14, 16, 27, ...
3,   9, 12, 17, 26, 31, ...
13, 11, 19, 25, 32, 42, ...
10, 20, 24, 33, 41, 50, ...
21, 23, 34, 39, 51, 60, ...
		

Crossrefs

Cf. A074135, A082017, A082018, A082002, A082003, A082004, A082005.

Extensions

Edited and more terms from Alois P. Heinz, Oct 26 2011