A119576 (n+n^2+n^3)*(binomial(2*n,n)).
0, 6, 84, 780, 5880, 39060, 238392, 1369368, 7516080, 39819780, 205079160, 1032047016, 5094629904, 24743027400, 118504436400, 560749834800, 2625519143520, 12179090862180, 56029885342200, 255864364648200
Offset: 0
Programs
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Maple
[seq ((n+n^2+n^3)*(binomial(2*n,n)),n=0..25)];