A229213 Square array of denominators of t(n,k) = (1+1/(k*n))^n, read by descending antidiagonals.
1, 2, 4, 3, 16, 27, 4, 36, 216, 256, 5, 64, 729, 4096, 3125, 6, 100, 1728, 20736, 100000, 46656, 7, 144, 3375, 65536, 759375, 2985984, 823543, 8, 196, 5832, 160000, 3200000, 34012224, 105413504, 16777216, 9, 256
Offset: 1
Examples
Table of fractions begins: 2, 3/2, 4/3, 5/4, ... 9/4, 25/16, 49/36, 81/64, ... 64/27, 343/216, 1000/729, 2197/1728, ... 625/256, 6561/4096, 28561/20736, 83521/65536, ... ... Table of denominators begins: 1, 2, 3, 4, ... 4, 16, 36, 64, ... 27, 216, 729, 1728, ... 256, 4096, 20736, 65536, ... ... Triangle of antidiagonals begins: 1; 2, 4; 3, 16, 27; 4, 36, 216, 256; ...
Crossrefs
Programs
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Mathematica
t[n_, k_] := (1+1/(k*n))^n; Table[t[n-k+1, k], {n, 1, 9}, {k, n, 1, -1}] // Flatten // Denominator
Comments