A081726 Let f(x,y)=floor((1+1/y)^x); sequence gives least k such that f(k+2,n)/f(k,n)=(1+1/n)^2.

1, 36, 20, 117, 37, 42, 70, 68, 57, 139, 186, 149, 119, 542, 389, 135, 328, 297, 327, 1055, 299, 273, 782, 328, 1117, 445, 1916, 1951, 493, 1148, 1238, 4156, 1616, 2328, 1003, 3106, 312, 536, 3320, 383, 1470, 528, 375, 3870, 555, 990, 1278, 1846, 851