A185730 Array by antidiagonals: T(n,k) = k*(k+1)*n*(n+1)*(k*n-n+2*k+7)/36.
1, 4, 3, 10, 13, 6, 20, 34, 28, 10, 35, 70, 76, 50, 15, 56, 125, 160, 140, 80, 21, 84, 203, 290, 300, 230, 119, 28, 120, 308, 476, 550, 500, 350, 168, 36, 165, 444, 728, 910, 925, 770, 504, 228, 45, 220, 615, 1056, 1400, 1540, 1435, 1120, 696, 300, 55, 286, 825, 1470, 2040, 2380, 2401, 2100, 1560, 930, 385, 66, 364, 1078, 1980, 2850, 3480, 3724, 3528, 2940
Offset: 1
Examples
Northwest corner: 1....4....10....20....35 3....13...34....70....125 6....28...76....160...290 10...50...140...300...550 15...80...230...500...925
Links
- G. C. Greubel, Table of n, a(n) for the first 50 rows, flattened
Programs
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Mathematica
f[n_,k_]:=k(1+k)n(1+n)(7+2k-n+k*n)/36; TableForm[Table[f[n,k],{n,1,10},{k,1,15}]] Table[f[n-k+1,k],{n,14},{k,n,1,-1}]//Flatten
Formula
T(n,k) = k*(k+1)*n*(n+1)*(k*n-n+2*k+7)/36.
Comments