A140869 Triangle read by rows where T(m,n) = floor((2mn+m+n-2)/2), m >= n >= 1.
1, 2, 5, 4, 7, 11, 5, 10, 14, 19, 7, 12, 18, 23, 29, 8, 15, 21, 28, 34, 41, 10, 17, 25, 32, 40, 47, 55, 11, 20, 28, 37, 45, 54, 62, 71, 13, 22, 32, 41, 51, 60, 70, 79, 89, 14, 25, 35, 46, 56, 67, 77, 88, 98, 109, 16, 27, 39, 50, 62, 73, 85, 96, 108, 119, 131, 17, 30, 42, 55, 67, 80, 92, 105, 117, 130, 142, 155
Offset: 1
Examples
Triangle begins: 1; 2, 5; 4, 7, 11; 5, 10, 14, 19; 7, 12, 18, 23, 29; 8, 15, 21, 28, 34, 41; 10, 17, 25, 32, 40, 47, 55; etc.
Links
- Vincenzo Librandi, Rows n = 1..100, flattened
Programs
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Magma
[Floor(((2*n*k+n+k-2)/2)): k in [1..n], n in [1..11]]; // Vincenzo Librandi, Nov 18 2012
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Mathematica
Flatten[Table[Floor[(2*n*m+m+n-2)/2],{n,1,10},{m,n}]] (* Vladimir Joseph Stephan Orlovsky, Feb 03 2012 *)
Comments