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.

A367007 Number of distinct prime factors of n*2^n + 1.

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%I A367007 #12 Jan 06 2024 09:21:45
%S A367007 0,1,1,1,2,2,3,3,2,2,3,2,3,2,3,3,2,3,4,4,3,2,4,4,4,4,4,4,2,3,5,5,3,2,
%T A367007 5,2,3,3,3,3,3,4,4,5,4,4,5,5,4,2,6,3,6,3,5,4,3,5,5,4,4,7,3,3,6,5,7,4,
%U A367007 4,5,5,5,5,5,3,5,4,4,4,6,4,4,4,5,4,6,6
%N A367007 Number of distinct prime factors of n*2^n + 1.
%C A367007 The numbers n*2^n+1 are called Cullen numbers.
%H A367007 Amiram Eldar, <a href="/A367007/b367007.txt">Table of n, a(n) for n = 0..865</a>
%F A367007 a(n) = omega(n*2^n + 1) = A001221(A002064(n)).
%t A367007 Table[PrimeNu[n*2^n + 1], {n, 0, 100}] (* _Amiram Eldar_, Jan 06 2024 *)
%o A367007 (PARI) a(n) = omega(n*2^n + 1); \\ _Amiram Eldar_, Jan 06 2024
%Y A367007 Cf. A002064, A001221, A367004, A367005, A367006.
%K A367007 nonn
%O A367007 0,5
%A A367007 _Sean A. Irvine_, Oct 31 2023