This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A118056 #11 Jul 11 2015 11:06:00 %S A118056 256,186624,99179645184,3874204890000000000, %T A118056 42041202325478752505760000000000, %U A118056 131378757267121101580500000000000000,2921293509192991260690562210500000000000000,60877138794045118308172632628761960350250724033554048000000000000000 %N A118056 Denominator of Sum_{i=1..n} 1/(s(i)^s(i)) where s(i) = i-th semiprime. %C A118056 Semiprime analog of A076265. Fractions are 1/256, 733/186624, 389546509/99179645184, 15216660895232989/3874204890000000000, 165124648173861912289213141201/42041202325478752505760000000000, 516014525543318775927975356319557/131378757267121101580500000000000000, 11473924061057077116469420939475877122177 / 2921293509192991260690562210500000000000000, 239106294995420151295311285049507497083520504633431021289373163777 / 60877138794045118308172632628761960350250724033554048000000000000000. %F A118056 a(n) = Denominator of Sum_{i=1..n} 1/(semiprime(i)^semiprime(i)). %F A118056 a(n) = Denominator of Sum_{i=1..n} 1/(A001358(i)^A001358(i)). %F A118056 a(n) = Denominator of Sum_{i=1..n} 1/A114850(n). %e A118056 a(2) = 186624 because (1/semiprime(1)^semiprime(1)) + (1/semiprime(2)^semiprime(2))= (1/256) + (1/46656) = 733/186624. %t A118056 Denominator[Accumulate[1/#^#&/@Select[Range[30],PrimeOmega[#]==2&]]] (* _Harvey P. Dale_, Feb 15 2012 *) %Y A118056 Numerators = A118055. Cf. A001358, A051674, A114850, A117579. %K A118056 easy,frac,nonn %O A118056 1,1 %A A118056 _Jonathan Vos Post_, Apr 11 2006 %E A118056 Corrected by _Harvey P. Dale_, Feb 15 2012