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 A120034 #8 Mar 30 2012 18:40:37 %S A120034 0,0,1,1,5,6,17,30,65,131,257,536,1033,2132,4187,8370,16656,33123, %T A120034 65855,130460,259431,513737,1019223,2019783,4003071,7930375,15712418, %U A120034 31126184,61654062,122137206,241920724,479226157,949313939,1880589368,3725662783 %N A120034 Number of 3-almost primes t such that 2^n < t <= 2^(n+1). %C A120034 The partial sum equals the number of Pi_3(2^n) = A127396(n). %e A120034 (2^3, 2^4] there is one semiprime, namely 12. 8 was counted in the previous entry. %t A120034 ThreeAlmostPrimePi[n_] := Sum[PrimePi[n/(Prime@i*Prime@j)] - j + 1, {i, PrimePi[n^(1/3)]}, {j, i, PrimePi@Sqrt[n/Prime@i]}]; t = Table[ ThreePrimePi[2^n], {n, 0, 35}]; Rest@t - Most@t %Y A120034 Cf. A014612, A072114, A109251, A036378, A120033 - A120043. %K A120034 nonn %O A120034 0,5 %A A120034 _Jonathan Vos Post_ and _Robert G. Wilson v_, Mar 20 2006