A011857 Triangle of numbers [ C(n,k)/k ], k=1..n-1.
2, 3, 1, 4, 3, 1, 5, 5, 3, 1, 6, 7, 6, 3, 1, 7, 10, 11, 8, 4, 1, 8, 14, 18, 17, 11, 4, 1, 9, 18, 28, 31, 25, 14, 5, 1, 10, 22, 40, 52, 50, 35, 17, 5, 1, 11, 27, 55, 82, 92, 77, 47, 20, 6, 1, 12, 33, 73, 123, 158, 154, 113, 61, 24, 6, 1, 13, 39, 95, 178, 257, 286, 245, 160
Offset: 2
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Mathematica
Flatten[Table[Floor[Binomial[n,k]/k],{n,20},{k,n-1}]] (* Harvey P. Dale, Apr 19 2015 *)