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 A342876 #8 Mar 28 2021 18:39:31 %S A342876 1680,4320,120960,166320,175560,215760,725760,1814400,1080647568000, %T A342876 104613949440000,115880067072000 %N A342876 Numbers that can be written as a product of k consecutive composite numbers and also of k+1 consecutive composite numbers, for some k>1. %C A342876 Similar to but different from A175340 which has an additional condition that says that factors cannot be used twice. So 1814400 is here via 8*9*10*12*14*15 = 15*16*18*20*21 but not there as 15 is used twice. %C A342876 This sequence is infinite. Proof: %C A342876 Choose two consecutive composites c1 and c2 such that c1 < c2. Let S be the composites strictly between c2 and c1 * c2. Let product(S) be the product of terms in S. Then c1 * c2 * product(S) is a term. %Y A342876 Cf. A175340. %K A342876 nonn,more %O A342876 1,1 %A A342876 _David A. Corneth_, Mar 28 2021