A325472 Numbers having at least two representations as multinomial coefficients M(n;lambda), where lambda is a partition of n.
1, 6, 10, 12, 15, 20, 21, 24, 28, 30, 35, 36, 42, 45, 55, 56, 60, 66, 70, 72, 78, 84, 90, 91, 105, 110, 120, 126, 132, 136, 140, 153, 156, 165, 168, 171, 180, 182, 190, 210, 220, 231, 240, 252, 253, 272, 276, 280, 286, 300, 306, 325, 330, 336, 342, 351, 360
Offset: 1
Keywords
Examples
1 is in the sequence because M(0;0) = M(1;1) = M(2;2) = M(3;3) = ... = 1. 6 is in the sequence because M(6;5,1) = M(4;2,2) = M(3;1,1,1) = 6. 42 is in the sequence because M(42;41,1) = M(7;5,1,1) = 42.
Links
- Alois P. Heinz, Table of n, a(n) for n = 1..20000
- Wikipedia, Multinomial coefficients
- Wikipedia, Partition (number theory)
Formula
a(n) = A305188(n-1) for n > 1.
Comments