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.

A256148 Primitive prime factors of the cyclotomic polynomial sequence Phi(3, k) (or Phi(6, k)) in the order in which they occur.

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%I A256148 #23 Oct 13 2022 18:47:28
%S A256148 3,7,13,31,43,19,73,37,157,61,211,241,307,127,421,463,79,601,757,271,
%T A256148 67,331,151,1123,397,97,1483,223,547,1723,139,631,283,109,103,181,
%U A256148 2551,379,919,409,2971,3307,163,3541,523,3907,613,4423,4831,1657,5113,751
%N A256148 Primitive prime factors of the cyclotomic polynomial sequence Phi(3, k) (or Phi(6, k)) in the order in which they occur.
%C A256148 Phi(3,k) = k^2 + k + 1 and Phi(6,k) = k^2 - k + 1.
%C A256148 Interesting scatter plot.
%C A256148 The terms correspond to the new primes of A081257 in the order of their appearance for n>1 and when A081257(m)>m. - _Bill McEachen_, Oct 13 2022
%H A256148 Robert Price, <a href="/A256148/b256148.txt">Table of n, a(n) for n = 1..733</a>
%H A256148 Bernhard Helmes, <a href="http://www.devalco.de/quadr_Sieb_x%5E2+x+1.php">Prime sieving on the polynomial f(n)=n^2+n+1</a>.
%t A256148 prim = {}; Do[prim = Join[prim, Complement[First /@ FactorInteger[Cyclotomic[6, k]], prim]], {k, 1000}]; prim
%o A256148 (PARI) lista(nn) = {vs = []; for (n=1, nn, vp = factor(polcyclo(6,n))[,1]; for (i=1, #vp, if (!vecsearch(vs, vp[i]), print1(vp[i], ", "); vs = vecsort(concat(vs, vp[i]),,8););););} \\ _Michel Marcus_, Mar 20 2015
%Y A256148 Cf. A005529, A248874, A256144, A256145, A256146, A081257.
%K A256148 nonn,look
%O A256148 1,1
%A A256148 _Robert Price_, Mar 16 2015