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A019284 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 (2,7)-perfect numbers. 8
24, 1536, 47360, 343976 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See also the Cohen-te Riele links under A019276.

No other terms < 5*10^11. - Jud McCranie, Feb 08 2012

572941926400 is also a term. See comment in A019278. - Michel Marcus, May 15 2016

LINKS

Table of n, a(n) for n=1..4.

Graeme L. Cohen and Herman J. J. te Riele, Iterating the sum-of-divisors function, Experimental Mathematics, 5 (1996), pp. 93-100.

MATHEMATICA

Select[Range[50000], DivisorSigma[1, DivisorSigma[1, #]]/# == 7 &] (* Robert Price, Apr 07 2019 *)

PROG

(PARI) isok(n) = sigma(sigma(n))/n  == 7; \\ Michel Marcus, May 12 2016

CROSSREFS

Cf. A000668, A019278, A019279, A019282, A019283.

Sequence in context: A288955 A203973 A063885 * A112389 A187634 A229430

Adjacent sequences:  A019281 A019282 A019283 * A019285 A019286 A019287

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 19 15:50 EDT 2019. Contains 328223 sequences. (Running on oeis4.)