A325903 Numbers having at least three representations as multinomial coefficients M(n;lambda), where lambda is a partition of n into distinct parts.

1, 105, 120, 210, 495, 1260, 1365, 1540, 3003, 4620, 5460, 6435, 7140, 10296, 11628, 15504, 24310, 27720, 29260, 30030, 42504, 43680, 45045, 77520, 83160, 102960, 116280, 120120, 180180, 203490, 352716, 360360, 376740, 437580, 593775, 657800, 680680, 720720

Offset: 1

Author

Alois P. Heinz, Sep 07 2019

Keywords

• nonn

Comments

Numbers occurring at least three times in the triangle A309992.

All terms are contained in A325593 and in A325901.

Examples

			1 is in the sequence because M(0;0) = M(1;1) = M(2;2) = M(3;3) = ... = 1.
105 is in the sequence because M(7;4,2,1) = M(15;13,2) = M(105;104,1) = 105.
120 is in the sequence because M(10;7,3) = M(16;14,2) = M(120;119,1) = 120.
1365 is in the sequence because M(15;11,4) = M(15;12,2,1) = M(1365;1364,1) = 1365.
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..318
• Wikipedia, Multinomial coefficients
• Wikipedia, Partition (number theory)

Crossrefs

Cf. A000009, A309992, A325593, A325901.