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.

A351446 Numbers k for which A003958(sigma(k)) = A003958(k), where A003958 is multiplicative with a(p^e) = (p-1)^e and sigma is the sum of divisors function.

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%I A351446 #12 Feb 12 2022 14:17:56
%S A351446 1,6,10,26,28,49,54,74,122,126,146,294,314,386,408,490,496,554,626,
%T A351446 680,794,842,914,1082,1226,1232,1274,1322,1346,1466,1514,1560,1754,
%U A351446 1768,1994,2186,2306,2402,2426,2474,2642,2646,2762,2906,3242,3314,3360,3506,3626,3672,3746,3808,3866,3986,4034
%N A351446 Numbers k for which A003958(sigma(k)) = A003958(k), where A003958 is multiplicative with a(p^e) = (p-1)^e and sigma is the sum of divisors function.
%C A351446 Numbers k for which A351442(k) = A003958(k), or equally, for which k = A351444(k) = A322582(k) + A351442(k).
%H A351446 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>
%o A351446 (PARI)
%o A351446 A003958(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1]--); factorback(f); };
%o A351446 isA351446(n) = (A003958(sigma(n))==A003958(n));
%Y A351446 Cf. A000203, A003958, A322582, A351442, A351447.
%Y A351446 Fixed points of A351444, positions of zeros in A351445.
%Y A351446 Subsequences: A000396, A351443 (odd terms), A351440, A336702 (numbers k for which A064989(sigma(k)) = A064989(k)).
%K A351446 nonn
%O A351446 1,2
%A A351446 _Antti Karttunen_, Feb 12 2022