A376866 a(n) = smallest integer k >= 2 such that there exist n disjoint multisets of positive integers, whose corresponding multinomial coefficients equal k.

2, 6, 120, 3003, 433866230594439538896000

Offset

1,1

Links

Table of n, a(n) for n=1..5.

Example

  n |                     a(n) | disjoint multisets with multinomial coefficient a(n)
  --+--------------------------+---------------------------------------------
  1 |                        2 | {1,1}
  2 |                        6 | {2,2}, {1,5}
  3 |                      120 | {3,7}, {2,14}, {1,119}
  4 |                     3003 | {6,8}, {5,10}, {2,76}, {1,3002}
  5 | 433866230594439538896000 | {4,9,13,23}, {2,2,8,11,27}, {3,3,3,16,25}, {5,6,15,24},
    |                          | {1,433866230594439538895999}

Crossrefs

Cf. A180058, A376369, A376376, A376828.

Sequence in context: A212158 A058251 A180058 * A264470 A039716 A164955

Adjacent sequences: A376863 A376864 A376865 * A376867 A376868 A376869

Keyword

nonn,hard,more,nice

Author

Pontus von Brömssen, Oct 07 2024

Extensions

Edited by Max Alekseyev, May 18 2025

Status

approved