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 A370634 #24 May 19 2024 13:15:56
%S A370634 1,4,5,3,3,3,9,4,3,3,13,3,3,9,3,3,19,3,3,3,9,13,25,3,3,3,3,9,31,3,3,4,
%T A370634 13,19,9,3,39,3,3,3,43,9,3,13,3,25,49,3,3,3,19,3,55,3,3,3,3,31,61,3,3,
%U A370634 3,3,3,3,3,69,19,3,3,73,3,3,39,3,3,3,3,81,3
%N A370634 A135507(n) is the product of the first n terms of this sequence.
%C A370634 Compactification of A135507 akin to A000705 with respect to A002201.
%H A370634 Michael De Vlieger, <a href="/A370634/b370634.txt">Table of n, a(n) for n = 1..10000</a>
%H A370634 Michael De Vlieger, <a href="/A370634/a370634.png">Log log scatterplot of a(n)</a>, n = 1..2^20.
%F A370634 For n > 1, 3 <= a(n) <= n+2.
%F A370634 For p = A001359(i) such that gcd(a(p-1), p) = 1, a(p) = p+2 = A006512(i).
%e A370634 Table of first 20 terms of this sequence and S = A135507.
%e A370634 n S(n) a(n)
%e A370634 ------------------------
%e A370634 1 1 1
%e A370634 2 4 4
%e A370634 3 20 5
%e A370634 4 60 3
%e A370634 5 180 3
%e A370634 6 540 3
%e A370634 7 4860 9
%e A370634 8 19440 4
%e A370634 9 58320 3
%e A370634 10 174960 3
%e A370634 11 2274480 13
%e A370634 12 6823440 3
%e A370634 13 20470320 3
%e A370634 14 184232880 9
%e A370634 15 552698640 3
%e A370634 16 1658095920 3
%e A370634 17 31503822480 19
%e A370634 18 94511467440 3
%e A370634 19 283534402320 3
%e A370634 20 850603206960 3
%t A370634 nn = 120; j = 1; {1}~Join~Reap[Do[k = 2 j + LCM[j, i]; Sow[k/j]; j = k, {i, 2, nn}] ][[-1, 1]]
%Y A370634 Cf. A001359, A003418, A006512, A135507.
%K A370634 nonn
%O A370634 1,2
%A A370634 _Michael De Vlieger_, May 19 2024