cp's OEIS Frontend

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.

A026444 a(n) = least positive integer > a(n-1) and not a(i)*a(j)+2 for 1<=i with initial terms 1,3.

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%I A026444 #14 Feb 07 2025 19:57:27
%S A026444 1,3,4,7,8,11,12,15,16,19,20,24,25,28,29,32,33,36,37,40,41,44,45,48,
%T A026444 49,52,53,56,57,60,61,64,65,68,69,72,73,76,80,81,84,85,88,91,92,95,96,
%U A026444 99,100,103,104,108,109,112,115,116,119,120,123
%N A026444 a(n) = least positive integer > a(n-1) and not a(i)*a(j)+2 for 1<=i<j<=n, with initial terms 1,3.
%H A026444 Ivan Neretin, <a href="/A026444/b026444.txt">Table of n, a(n) for n = 1..1000</a>
%t A026444 a = {1, 3}; used = {a[[1]]*a[[2]] + 2}; Do[k = a[[-1]] + 1;
%t A026444  While[MemberQ[used, k], k++]; used = Union[used, k*a + 2];
%t A026444 AppendTo[a, k], {n, 3, 60}]; a (* _Ivan Neretin_, Mar 06 2016 *)
%Y A026444 Cf. A026443 and references therein.
%K A026444 nonn
%O A026444 1,2
%A A026444 _Clark Kimberling_
%E A026444 Name clarified by _Robert C. Lyons_, Feb 07 2025