A376662 The smallest of the most common numbers among the multinomial coefficients n!/(x_1! * ... * x_k!) for all partitions (x_1, ..., x_k) of n.

1, 1, 1, 1, 1, 1, 1, 210, 56, 504, 1260, 9240, 166320, 360360, 5045040, 75675600, 1210809600, 4084080, 73513440, 698377680, 13967553600, 146659312800, 1075501627200, 37104806138400, 296838449107200, 7420961227680000, 96472495959840000, 2604757390915680000

Offset: 0

Author

Pontus von Brömssen, Oct 02 2024

Keywords

• nonn

Comments

a(n) is the smallest number that appears A376661(n) times in row n of A036038 (for n >= 1) or A078760.

Examples

			For n = 8, the only numbers that appear more than once in row 8 of A036038 are 56 and 1680, which both appear twice. Since 56 < 1680, a(8) = 56.
		

Crossrefs

Cf. A036038, A078760, A376661.