Search: id:A095845
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%I A095845
%S A095845 1,2,10,5,230,46,874,8740,1673710,1673710,513828970,256914485,
%T A095845 631290272542,3156451362710,15513958447719650,12411166758175720,
%U A095845 305013731457236950790,305013731457236950790
%N A095845 Denominator of the integral of the n-th power of the Cantor function.
%D A095845 E. A. Gorin and B. N. Kukushkin, Integrals related to the Cantor function, 
               St. Petersburg Math. J., 15, 449-468, 2004.
%H A095845 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               CantorFunction.html">Cantor Function</a>
%F A095845 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 A095845 1, 1/2, 3/10, 1/5, 33/230, 5/46, 75/874, 611/8740, 97653/1673710, ...
%p A095845 seq(denom(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..17); (Deutsch)
%Y A095845 Cf. A095844.
%Y A095845 Sequence in context: A082192 A033468 A047816 this_sequence A105801 A086064 
               A076374
%Y A095845 Adjacent sequences: A095842 A095843 A095844 this_sequence A095846 A095847 
               A095848
%K A095845 nonn,frac
%O A095845 0,2
%A A095845 Eric Weisstein (eric(AT)weisstein.com), Jun 08, 2004

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