A210943 Square array read by antidiagonals in which row n lists the parts of the infinite n-th zone of the shell model of partitions, in nonincreasing order.

1, 2, 1, 3, 1, 1, 2, 1, 1, 1, 4, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 5, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 6, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 1, 1, 1, 1, 1

Offset: 1

Author

Omar E. Pol, Apr 19 2012

Keywords

• nonn
• tabl

Comments

The n-th zone of the shell model of partitions is formed by the parts of the n-th row of triangle A210941 together with infinitely many parts of size 1.

Examples

			Array begins:
1, 1, 1, 1, 1, 1, 1, 1, 1, 1,...
2, 1, 1, 1, 1, 1, 1, 1, 1, 1,...
3, 1, 1, 1, 1, 1, 1, 1, 1, 1,...
2, 2, 1, 1, 1, 1, 1, 1, 1, 1,...
4, 1, 1, 1, 1, 1, 1, 1, 1, 1,...
3, 2, 1, 1, 1, 1, 1, 1, 1, 1,...
5, 1, 1, 1, 1, 1, 1, 1, 1, 1,...
2, 2, 2, 1, 1, 1, 1, 1, 1, 1,...
4, 2, 1, 1, 1, 1, 1, 1, 1, 1,...
3, 3, 1, 1, 1, 1, 1, 1, 1, 1,...
6, 1, 1, 1, 1, 1, 1, 1, 1, 1,...
3, 2, 2, 1, 1, 1, 1, 1, 1, 1,...
5, 2, 1, 1, 1, 1, 1, 1, 1, 1,...
4, 3, 1, 1, 1, 1, 1, 1, 1, 1,...
7, 1, 1, 1, 1, 1, 1, 1, 1, 1,...
		

Links

• Omar E. Pol, Illustration of the partitions and regions of n, for n = 1..12

Crossrefs

Column 1 is A141285.

Cf. A135010, A138121, A182742, A182743, A210941, A210942.