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%I #3 Mar 30 2012 18:50:48
%S 1,1,8,1,11,81,1,14,131,1024,1,17,193,1829,15625,1,20,267,2974,29849,
%T 279936,1,23,353,4519,52113,561399,5764801,1,26,451,6524,84997,
%U 1034270,11994247,134217728,1,29,561,9049,131441,1782969,23046721,287420489
%N Numerator of (1-1/n)^k - (1-k/n), 2<=k<=n, triangle read by rows.
%C Denominator A099615.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BernoulliInequality.html">Bernoulli Inequality</a>
%e Triangle (1-1/n)^k - (1-k/n) starts, 2<=k<=n<=6:
%e n=2: .................. 1/4,
%e n=3: .............. 1/9 ____ 8/27,
%e n=4: ......... 1/16 ___ 11/64 ___ 81/256,
%e n=5: ..... 1/25 __ 14/125 __ 131/625 __ 1024/3125,
%e n=6: . 1/36 _ 17/216 _ 193/1296 _ 1829/7776 _ 15625/46656.
%Y Cf. A099613.
%K nonn,tabl,frac
%O 1,3
%A _Reinhard Zumkeller_, Oct 25 2004