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.

A225892 Numbers of the form p^2 * (p^2 + 1) where p is in A225856.

This page as a plain text file.
%I A225892 #15 Jun 17 2022 17:30:02
%S A225892 20,90,650,14762,28730,83810,130682,280370,708122,924482,1875530,
%T A225892 4881890,7893290,12120842,13849562,20155610,25416722,28403570,
%U A225892 38956322,47465210,62750162,88538690,104070602,112561490,141170042,163060130,260160770,294517082,352294130
%N A225892 Numbers of the form p^2 * (p^2 + 1) where p is in A225856.
%H A225892 Amiram Eldar, <a href="/A225892/b225892.txt">Table of n, a(n) for n = 1..10000</a>
%F A225892 a(n) = A071253(A225856(n)). - _Amiram Eldar_, Feb 23 2021
%e A225892 a(2) = 3^2(3^2+1) = 3^4+3^2 = 90.
%e A225892 a(5) = 13^2(13^2+1) = 13^4+13^2 = 28730.
%t A225892 p = Select[Prime[Range[60]], SquareFreeQ[#^2+1]&]; p^2 * (p^2+1)
%t A225892 #^2 (#^2+1)&/@Select[Prime[Range[50]],SquareFreeQ[#^2+1]&] (* _Harvey P. Dale_, Jun 17 2022 *)
%Y A225892 Cf. A071253, A225856 (primes p such that p^2+1 is squarefree).
%K A225892 nonn
%O A225892 1,1
%A A225892 _Rafael Parra Machio_, May 20 2013