Search: id:A095844
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%I A095844
%S A095844 1,1,3,1,33,5,75,611,97653,83057,22018179,9625216,20894487717,93120706729,
%T A095844 411117020063871,297434062421057,6650181371241300777,
%U A095844 6082551300359191981,2198073713661546055399083
%N A095844 Numerator of the integral of the n-th power of the Cantor function.
%D A095844 E. A. Gorin and B. N. Kukushkin, Integrals related to the Cantor function, 
               St. Petersburg Math. J., 15, 449-468, 2004.
%H A095844 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               CantorFunction.html">Cantor Function</a>
%F A095844 The integral, a rational number, is given by J(n)=1/(n+1)-sum(binomial(n, 
               2k)[2^(2k-1)-1]bernoulli(2k)/[(3*2^(2k-1)-1)(n-2k+1)], k = 1 .. floor(n/
               2)). - Emeric Deutsch (deutsch(AT)duke.poly.edu), Feb 22 2005
%e A095844 1, 1/2, 3/10, 1/5, 33/230, 5/46, 75/874, 611/8740, 97653/1673710, ...
%p A095844 seq(numer(1/(n+1)-sum(binomial(n,2*k)*(2^(2*k-1)-1)*bernoulli(2*k)/(3*2^(2*k-1)-1)/
               (n-2*k+1),k = 1 .. floor(1/2*n))),n=1..18); (Deutsch)
%Y A095844 Cf. A095845.
%Y A095844 Sequence in context: A141411 A016481 A047815 this_sequence A113110 A109842 
               A103242
%Y A095844 Adjacent sequences: A095841 A095842 A095843 this_sequence A095845 A095846 
               A095847
%K A095844 nonn,frac
%O A095844 0,3
%A A095844 Eric Weisstein (eric(AT)weisstein.com), Jun 08, 2004

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