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A325903
Numbers having at least three representations as multinomial coefficients M(n;lambda), where lambda is a partition of n into distinct parts.
4
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
1,2
COMMENTS
Numbers occurring at least three times in the triangle A309992.
All terms are contained in A325593 and in A325901.
EXAMPLE
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.
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 07 2019
STATUS
approved