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
Examples
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}
Extensions
Edited by Max Alekseyev, May 18 2025