The On-Line Encyclopedia of Integer Sequences (OEIS)

A333144 revision #5

A333144

Irregular triangle where row n lists the product of the factorials of the exponentials of the partitions of n and the partitions are enumerated in canonical order.

1, 1, 1, 2, 1, 1, 6, 1, 1, 2, 2, 24, 1, 1, 1, 2, 2, 6, 120, 1, 1, 1, 2, 2, 1, 6, 6, 4, 24, 720, 1, 1, 1, 2, 1, 1, 6, 2, 2, 2, 24, 6, 12, 120, 5040, 1, 1, 1, 2, 1, 1, 6, 2, 1, 2, 2, 24, 2, 4, 2, 6, 120, 24, 12, 48, 720, 40320

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OFFSET

0,4

COMMENTS

By 'canonical order' we understand the graded reverse lexicographic order (the default order of Mathematica and SageMath).

LINKS

Table of n, a(n) for n=0..66.

EXAMPLE

The irregular table starts:

[0] [1]

[1] [1]

[2] [1, 2]