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.

A332216 Fixed points of A332221: Numbers k such that A156552(sigma(k)) is equal to k.

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%I A332216 #33 Feb 13 2020 02:52:27
%S A332216 2,3,5,7,11,19,23,31,47,55,79,87,127,191,383,1279,5119,6143,8191,
%T A332216 20479,81919,131071,524287,786431,1310719,2147483647
%N A332216 Fixed points of A332221: Numbers k such that A156552(sigma(k)) is equal to k.
%C A332216 Equally, numbers k such that sigma(k) is equal to A005940(1+k).
%C A332216 The primes in this sequence are obtained by subtracting 1 from those terms of A029747 that are one more than a prime.
%C A332216 Questions: Are there other composite terms than 55 and 87? Are there other even terms than 2? (All such even terms should also occur in A332218).
%H A332216 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%H A332216 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>
%t A332216 Select[Range[10^5], DivisorSigma[1, #] == Block[{p = Partition[Split[Join[IntegerDigits[#, 2], {2}]], 2], q}, Times @@ Flatten[Table[q = Take[p, -i]; Prime[Count[Flatten[q], 0] + 1]^q[[1, 1]], {i, Length[p]}]]] &] (* _Michael De Vlieger_, Feb 12 2020, after _Robert G. Wilson v_ at A005940 *)
%Y A332216 Cf. A000203, A005940, A029747, A156552, A332217, A332218, A332221.
%Y A332216 Subsequences: A000668, A007505, A050522.
%K A332216 nonn,more
%O A332216 1,1
%A A332216 _Antti Karttunen_, Feb 10 2020