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

1,2

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.

References

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

Links

Table of n, a(n) for n=1..28.

Example

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;

Crossrefs

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

Sequence in context: A070583 A133821 A002651 * A302153 A040271 A329927

Adjacent sequences: A097519 A097520 A097521 * A097523 A097524 A097525

Keyword

fini,nonn,tabl,full

Author

Alford Arnold, Aug 27 2004

Status

approved