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.

A376299 Fixed points of A008473.

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%I A376299 #24 Oct 19 2024 08:33:57
%S A376299 1,4,90,120
%N A376299 Fixed points of A008473.
%C A376299 These are the numbers such that the sum of the powerfree parts of the divisors of n equals n.
%C A376299 These fixed points appeared in A299352 and the linked Combo Class video. The former notes there are no more fixed points <= 10^8. - _Michael S. Branicky_, Sep 19 2024
%C A376299 Any further terms are > 10^11. - _Lucas A. Brown_, Oct 19 2024
%H A376299 Lucas A. Brown, <a href="https://github.com/lucasaugustus/oeis/blob/main/A376299.py">Python program</a>.
%H A376299 Combo Class, <a href="https://www.youtube.com/watch?v=pylw9t4j6bM">The Mysterious Pattern I Found Within Prime Factorizations</a>, Sep 12 2024.
%o A376299 (Python)
%o A376299 from sympy import factorint, prod
%o A376299 A008473 = lambda n: prod(sum(pk) for pk in factorint(n).items())
%o A376299 isok = lambda n: A008473(n) == n
%o A376299 print([n for n in range(1, 10**6) if isok(n)])
%Y A376299 Cf. A008473, A299352.
%K A376299 nonn,more,hard
%O A376299 1,2
%A A376299 _DarĂ­o Clavijo_, Sep 19 2024