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.

A074751 Numbers k such that the sum of the anti-divisors of k = sum of proper divisors (or aliquot parts) of k.

This page as a plain text file.
%I A074751 #24 Apr 04 2025 07:03:04
%S A074751 1,4,44,260,1350,6284,6954,13364,273366,333546,466614,4659934050
%N A074751 Numbers k such that the sum of the anti-divisors of k = sum of proper divisors (or aliquot parts) of k.
%C A074751 Integers k such that A066417(k) = A001065(k)
%C A074751 a(13) > 10^10. - _Hiroaki Yamanouchi_, Mar 18 2015
%o A074751 (PARI) spd(n) = if( n==0, 0, sigma(n) - n); \\ A001065
%o A074751 sad(n) = my(k); if(n>1, k=valuation(n, 2); sigma(2*n+1)+sigma(2*n-1)+sigma(n/2^k)*2^(k+1)-6*n-2, 0); \\ A066417
%o A074751 isok(k) = sad(k) == spd(k); \\ _Michel Marcus_, Mar 30 2025
%Y A074751 Cf. A001065, A066417, A066272.
%K A074751 nonn,more
%O A074751 1,2
%A A074751 _Jason Earls_, Sep 06 2002
%E A074751 a(12) from _Hiroaki Yamanouchi_, Mar 18 2015