A097522 Triangle read by rows giving the 246 multinomials described by A005651(5) related to Young tableau and Kostka numbers.

1, 16, 1, 25, 12, 1, 36, 15, 8, 1, 25, 18, 10, 8, 1, 16, 10, 6, 5, 4, 1, 1, 4, 5, 6, 5, 4, 1

Offset: 1

Author

Alford Arnold, Aug 27 2004

Keywords

• fini
• nonn
• tabl
• full

Comments

The antidiagonal 1 4 5 6 5 4 1 is also listed in A007837 in ascending order by value: 1 1 4 4 5 5 6. The 246 cases are distributed in A036038 as 1 5 10 20 30 60 120.

Examples

			Triangle is
   1;
  16,  1;
  25, 12,  1;
  36, 15,  8,  1;
  25, 18, 10,  8,  1;
  16, 10,  6,  5,  4,  1;
   1,  4,  5,  6,  5,  4,  1;
		

References

• R. Stanton, Constructive Combinatorics, 19856, page 83.

Crossrefs

Cf. A000085, A000142, A003869, A005651, A036038, A060240.