%I A129196
%S A129196 1,4,9,32,125,36,343,256,243,500,1331,288,2197,1372,1125,2048,4913,972,
%T A129196 6859,4000,3087,5324,12167,2304,15625,8788,6561,10976,24389,4500,29791,
%U A129196 16384,11979,19652,42875,7776
%N A129196 a(n)=denominator(3(3+(-1)^n)/(n+1)^3);.
%C A129196 Numerator of 3(3+(-1)^n)/(n+1)^3 is A129197.
%C A129196 (1/(2*pi))*int(exp(i*(n+1)*t)((t-pi)/i)^3,t,0,2*pi))=(A129202(n)*pi^2-A129203(n))/
               A129196(n), i=sqrt(-1).
%F A129196 a(n)=A129204(n+1)/(5/3+(4/3)*cos(2*pi*(n+1)/3));
%F A129196 a(n)=denominator((1/(2*pi))*int(exp(i*(n+1)*t)((t-pi)/i)^3,t,0,2*pi)), 
               i=sqrt(-1);
%F A129196 a(n)=denominator((pi^2*(n+1)^2-6)/(n+1)^3);
%F A129196 a(n)=((n+1)^3/(gcd(n+1,2)*gcd(n+1,3))); - Paul Barry (pbarry(AT)wit.ie), 
               Oct 09 2007
%Y A129196 Sequence in context: A149119 A149120 A057819 this_sequence A119574 A006393 
               A076966
%Y A129196 Adjacent sequences: A129193 A129194 A129195 this_sequence A129197 A129198 
               A129199
%K A129196 easy,frac,nonn
%O A129196 0,2
%A A129196 Paul Barry (pbarry(AT)wit.ie), Apr 02 2007, Apr 03 2007