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A318272 a(n) is the least k such that A049417(A049417(k)) = n*k, where A049417 is the infinitary sigma function, or 0 if no such k exists. 1
1, 2, 8, 15, 24, 60, 1321920, 17850, 285600, 763776 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

It is also known that a(12) = 71400.

Then for higher indices n, we have:

  a(11) <= 414230544000;

  a(13) <= 2667897127526400;

  a(14) <= 446464417259520;

  a(15) <= 23613006957281280;

  a(16) <= 22227004800;

  a(17) <= 3134896756992000;

  a(18) <= 15414516736819200;

  a(20) <= 53129265653882880.

a(16) = 8420630400. - Giovanni Resta, Aug 25 2018

LINKS

Table of n, a(n) for n=1..10.

Tomohiro Yamada, Infinitary superperfect numbers, Annales Mathematicae et Informaticae, 47 (2017) pp. 211-218. See Table 1.

CROSSREFS

Cf. A049417, A318182.

Cf. A272930 (analog for sigma), A318242 (analog for bi-unitary sigma).

Sequence in context: A063286 A133230 A318242 * A244476 A292202 A189952

Adjacent sequences:  A318269 A318270 A318271 * A318273 A318274 A318275

KEYWORD

nonn,more

AUTHOR

Michel Marcus, Aug 23 2018

STATUS

approved

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Last modified July 31 20:24 EDT 2021. Contains 346377 sequences. (Running on oeis4.)