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 A123118 #5 Mar 30 2012 18:40:41 %S A123118 2,12,216,8640,933120,209018880,100329062400,130026464870400, %T A123118 349511137571635200,1968446726803449446400,22676506292775737622528000, %U A123118 522466704985552994823045120000,27820307107070725868337506549760000 %N A123118 Partial products of A101695. %C A123118 The number of prime factors (with multiplicity) of a(n) is T(n) = A000217(n) = n*(n+1)/2. %F A123118 a(n) = Prod[i=1..n] i-th i-almost prime = Prod[i=1..n] A101695(i). %e A123118 a(1) = 2 = prime(1). %e A123118 a(2) = 12 = 2 * 6 = prime(1) * semiprime(2) = 2^2 * 3. %e A123118 a(3) = 216 = 2 * 6 * 18 = prime(1) * semiprime(2) * 3-almostprime(3) = 2^3 * 3^3. %e A123118 a(4) = 8640 = 2 * 6 * 18 * 40 = prime(1) * semiprime(2) * 3-almostprime(3) * 4-almostprime(4) = 2^6 * 3^3 * 5. %e A123118 a(15) = 893179304874387947794472921245209518407680000 = 2 * 6 * 18 * 40 * 108 * 224 * 480 * 1296 * 2688 * 5632 * 11520 * 23040 * 53248 * 124416 * 258048 = 2^88 * 3^23 * 5^4 * 7^3 * 11 * 13. %Y A123118 Cf. A000040, A001358, A014612, A014613, A046314, A046306, A046308, A046310, A046312, A046314, A069272, A069273, A069274, A069275, A069276, A069277, A069278, A069279, A069280, A069281, A101637, A101638, A101605, A101606, A101695. %K A123118 nonn %O A123118 1,1 %A A123118 _Jonathan Vos Post_, Sep 28 2006