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.

A026443 a(n) = least positive integer > a(n-1) and not a(i)*a(j)+2 for 1<=i with initial terms 1,2.

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%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