Search: id:A072914
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%I A072914
%S A072914 1,16,1296,20736,12960000,12960000,31116960000,497871360000,
%T A072914 40327580160000,40327580160000,590436101122560000,590436101122560000,
%U A072914 16863445484161436160000,16863445484161436160000
%N A072914 Denominators of 1/4!*(H(n,1)^4+6*H(n,1)^2*H(n,2)+8*H(n,1)*H(n,3)+3*H(n,
               2)^2+6*H(n,4)), where H(n,m) = Sum_{i=1..n} 1/i^m are generalized 
               harmonic numbers.
%C A072914 a(n) = A007480 (n) for n=1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 
               15, 16, 17, 18, 19, 20, 21, 22, 24, 26, 27, 51, 52, 53, 54, 110, 
               111, 112, 113, 114, 115, 116...... - Benoit Cloitre (benoit7848c(AT)orange.fr), 
               Aug 13 2002
%F A072914 Denominators of 1/4!*((gamma+Psi(n+1))^4+6*(gamma+Psi(n+1))^2*(1/6*Pi^2-Psi(1, 
               n+1))+8*(gamma+Psi(n+1))*(Zeta(3)+1/2*Psi(2, n+1))+3*(1/6*Pi^2-Psi(1, 
               n+1))^2+6*(1/90*Pi^4-1/6*Psi(3, n+1))).
%o A072914 (PARI) x(n)=sum(k=1,n,1/k); y(n)=sum(k=1,n,1/k^2); z(n)=sum(k=1,n,1/k^3); 
               w(n)=sum(k=1,n,1/k^4); a(n)=denominator(1/4!*(x(n)^4+6*x(n)^2*y(n)+8*x(n)*z(n)+3*y(n)^2+6*w(n)))
%Y A072914 Cf. A072913.
%Y A072914 Sequence in context: A016828 A072161 A163929 this_sequence A007480 A163395 
               A134375
%Y A072914 Adjacent sequences: A072911 A072912 A072913 this_sequence A072915 A072916 
               A072917
%K A072914 easy,nonn,frac
%O A072914 1,2
%A A072914 Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 10 2002
%E A072914 More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 13 2002

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