%I #28 Sep 29 2023 22:03:36
%S 4404480,57669920,238608384
%N Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k*n; sequence gives the (2,11)-perfect numbers.
%C See also the Cohen-te Riele links under A019276.
%C No other terms < 5*10^11. - _Jud McCranie_, Feb 08 2012
%C a(4) > 4*10^12. - _Giovanni Resta_, Feb 26 2020
%C 53283599155200, 2914255525994496 and 3887055949004800 are also terms. - _Michel Marcus_, Feb 27 2020
%H Graeme L. Cohen and Herman J. J. te Riele, <a href="http://projecteuclid.org/euclid.em/1047565640">Iterating the sum-of-divisors function</a>, Experimental Mathematics, 5 (1996), pp. 93-100.
%o (PARI) isok(n) = sigma(sigma(n))/n == 11; \\ _Michel Marcus_, Feb 27 2020
%Y Cf. A019278, A019279, A019281, A019282, A019283, A019284, A019285, A019286, A019287, A019289, A019290, A019291.
%K nonn,bref,more
%O 1,1
%A _N. J. A. Sloane_
|