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 A026443 #15 Feb 07 2025 22:46:41 %S A026443 1,2,3,6,7,10,11,15,18,19,25,26,29,30,33,34,37,41,42,45,46,49,50,53, %T A026443 57,58,61,64,65,69,73,74,78,81,82,85,88,91,95,96,99,103,106,109,114, %U A026443 115,119,120,123,126,127,131,134,138,139,142,143 %N A026443 a(n) = least positive integer > a(n-1) and not a(i)*a(j)+2 for 1<=i<j<=n, with initial terms 1,2. %H A026443 Ivan Neretin, <a href="/A026443/b026443.txt">Table of n, a(n) for n = 1..1000</a> %t A026443 a = {1, 2}; used = {a[[1]]*a[[2]] + 2}; Do[k = a[[-1]] + 1; %t A026443 While[MemberQ[used, k], k++]; used = Union[used, k*a + 2]; %t A026443 AppendTo[a, k], {n, 3, 60}]; a (* _Ivan Neretin_, Mar 06 2016 *) %Y A026443 Similar sequences with different starting conditions: A026444 (1,3), A026445 (2,3), A026446 (2,4), A026447 (3,4). %Y A026443 Related sequences with definition using any products (not necessarily distinct) and with various starting conditions: A026448 (1,2), A026449 (1,3), A026450 (2,3), A026451 (2,4), A026452 (3,4). %K A026443 nonn %O A026443 1,2 %A A026443 _Clark Kimberling_ %E A026443 Name clarified by _Robert C. Lyons_, Feb 07 2025