%I A157294
%S A157294 1,6,3,8,2,5,4,3,2,0,4,4,0,9,6,7,3,6,6,3,4,1,4,9,4,2,7,4,9,8,9,8,7,3,5,
%T A157294 5,4,9,1,8,7,0,2,5,2,6,6,4,4,3,4,4,7,1,8,0,7,2,9,0,0,6,7,4,8,9,2,5,0,4,
%U A157294 2,3,5,5,7,4,4,7,9,0,4,1,3,4,8,3,1,5,9,2,4,6,3,0,4,9,2,3,6,9,2,5,6,9,1
%N A157294 Decimal expansion of 1575/Pi^6.
%C A157294 The product_{p= primes = A000040} (1+1/p^2+1/p^4+1/p^6).
%F A157294 Equals A013661/A013666 = A082020*A157290 = product_{i>=1} (1+1/A001248(i)+1/
               A030514(i)+1/A030516(i)) = 1575*A092746.
%e A157294 1.63825432044096736634149427498... = (1+1/2^2+1/2^4+1/2^6)*(1+1/3^2+1/
               3^4+1/3^6)*(1+1/5^2+1/5^4+1/5^6)*(1+1/7^2+1/7^4+1/7^6)*...
%p A157294 evalf(1575/Pi^6) ;
%Y A157294 Sequence in context: A096253 A115287 A061533 this_sequence A021098 A088246 
               A086648
%Y A157294 Adjacent sequences: A157291 A157292 A157293 this_sequence A157295 A157296 
               A157297
%K A157294 cons,easy,nonn
%O A157294 1,2
%A A157294 R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 26 2009