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.

A365463 a(n) = gcd(n, A356867(n)), where A356867 is Sycamore's Doudna variant D(3).

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%I A365463 #12 Sep 17 2023 10:06:44
%S A365463 1,2,3,1,1,6,1,8,9,1,1,3,1,2,3,2,1,18,1,4,3,1,1,24,25,2,27,1,1,3,1,4,
%T A365463 3,2,7,9,1,2,3,5,1,6,1,4,9,1,1,6,1,50,3,4,1,54,11,2,3,1,1,12,1,2,9,1,
%U A365463 5,3,1,4,3,10,1,72,1,2,75,1,1,6,1,16,81,1,1,3,5,2,3,2,1,9,91,2,3,1,5,12,1,2,9,5,1,6,1,8,21
%N A365463 a(n) = gcd(n, A356867(n)), where A356867 is Sycamore's Doudna variant D(3).
%H A365463 Antti Karttunen, <a href="/A365463/b365463.txt">Table of n, a(n) for n = 1..19683</a>
%F A365463 a(n) = gcd(n, A365462(n)) = gcd(A356867(n), A365462(n)).
%F A365463 a(n) = n / A365464(n) = A356867(n) / A365465(n).
%F A365463 For all n >= 1, A007949(a(n)) = A007949(n), A011655(a(n)) = A011655(n).
%o A365463 (PARI)
%o A365463 up_to = 19683;
%o A365463 A356867list(up_to) = { my(v=vector(up_to),met=Map(),h=0,ak); for(i=1,#v,if(1==vecsum(digits(i,3)), v[i] = i; h = i, ak = v[i-h]; forprime(p=2,,if(3!=p && !mapisdefined(met,p*ak), v[i] = p*ak; break))); mapput(met,v[i],i)); (v); };
%o A365463 v356867 = A356867list(up_to);
%o A365463 A356867(n) = v356867[n];
%o A365463 A365463(n) = gcd(n, A356867(n));
%Y A365463 Cf. A007949, A356867, A364957 (Dirichlet inverse), A365462, A365464, A365465.
%Y A365463 Cf. also A364500.
%K A365463 nonn
%O A365463 1,2
%A A365463 _Antti Karttunen_, Sep 15 2023