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 A118055 #7 Jul 11 2015 11:05:09 %S A118055 1,733,389546509,15216660895232989,165124648173861912289213141201, %T A118055 516014525543318775927975356319557, %U A118055 11473924061057077116469420939475877122177 %N A118055 Numerator of Sum_{i=1..n} 1/(s(i)^s(i)) where s(i) = i-th semiprime. %C A118055 Semiprime analog of A117579. Fractions are 1/256, 733/186624, 389546509/99179645184, 15216660895232989/3874204890000000000, 165124648173861912289213141201/42041202325478752505760000000000, 516014525543318775927975356319557/131378757267121101580500000000000000, 11473924061057077116469420939475877122177 / 2921293509192991260690562210500000000000000, 239106294995420151295311285049507497083520504633431021289373163777 / 6087713879404511830817263262876196035025072. %F A118055 a(n) = Numerator of Sum_{i=1..n} 1/(semiprime(i)^semiprime(i)). %F A118055 a(n) = Numerator of Sum_{i=1..n} 1/(A001358(i)^A001358(i)). %F A118055 a(n) = Numerator of Sum_{i=1..n} 1/A114850(n). %e A118055 a(2) = 733 because (1/semiprime(1)^semiprime(1)) + (1/semiprime(2)^semiprime(2)) %e A118055 = (1/256) + (1/46656) = 733/186624. %t A118055 Numerator[Accumulate[1/#^#&/@Select[Range[25],PrimeOmega[#]==2&]]] (* _Harvey P. Dale_, Aug 09 2012 *) %Y A118055 Denominators = A118055. Cf. A001358, A051674, A114850, A117579. %K A118055 easy,frac,nonn %O A118055 1,2 %A A118055 _Jonathan Vos Post_, Apr 11 2006