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 A363492 #10 Jul 15 2023 06:35:42 %S A363492 0,1,7,8,9,10,11,12,14,15,16,17,18,19,21,24,39 %N A363492 Numbers k such that the partition number p(k) = A000041(k) can be written as a product of smaller partition numbers. %C A363492 a(18) > 10000 (if it exists). %e A363492 0 and 1 are terms, because p(0) = p(1) = 1 is the empty product. %e A363492 7 is a term, because p(7) = 15 = 3*5 = p(3)*p(4). %e A363492 39 is a term, because p(39) = 31185 = 3^4*385 = p(3)^4*p(18). %e A363492 33 is not a term, even though all prime factors of p(33) = 3^2 * 7^2 * 23 appear in smaller partition numbers. (In particular, 33 is a term of A194345.) This is because the only smaller partition number that is divisible by 23 is p(32) = 3 * 11^2 * 23, but p(33) is not divisible by 11. %Y A363492 Cf. A000041, A034878, A363636. %Y A363492 Except for a(1) = 0, subsequence of A194345. %K A363492 nonn,more %O A363492 1,3 %A A363492 _Pontus von Brömssen_, Jun 05 2023