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.

A239626 Factored over the Gaussian integers, n has a(n) prime factors counted multiply, including units -1, i, and -i.

This page as a plain text file.
%I A239626 #5 Mar 31 2014 13:17:39
%S A239626 1,3,1,5,3,4,1,7,2,5,1,6,3,4,4,8,3,5,1,7,2,4,1,8,5,5,3,6,3,6,1,11,2,5,
%T A239626 4,7,3,4,4,8,3,5,1,6,5,4,1,9,2,7,4,7,3,6,4,8,2,5,1,8,3,4,3,13,5,5,1,7,
%U A239626 2,6,1,9,3,5,6,6,2,6,1,11,4,5,1,7,5,4,4
%N A239626 Factored over the Gaussian integers, n has a(n) prime factors counted multiply, including units -1, i, and -i.
%C A239626 Here -1, i, and -i are counted as factors. The factor 1 is counted only in a(1).
%H A239626 T. D. Noe, <a href="/A239626/b239626.txt">Table of n, a(n) for n = 1..10000</a>
%e A239626 a(2) = 3 because 2 = -i * (1 + i)^2.
%e A239626 a(3) = 1 because 3 is prime over the complex numbers.
%e A239626 a(4) = 5 because 4 = -1 * (1 + i)^4.
%t A239626 Table[Total[Transpose[FactorInteger[n, GaussianIntegers -> True]][[2]]], {n, 100}]
%Y A239626 Cf. A001221, A001222 (integer factorizations).
%Y A239626 Cf. A078458, A086275 (Gaussian factorizations).
%Y A239626 Cf. A239627 (Gaussian factorization including units).
%K A239626 nonn
%O A239626 1,2
%A A239626 _T. D. Noe_, Mar 31 2014