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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

%I #23 Sep 08 2018 18:55:38

%S 1,2,8,15,24,60,1321920,17850,285600,763776

%N 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.

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

%C Then for higher indices n, we have:

%C a(11) <= 414230544000;

%C a(13) <= 2667897127526400;

%C a(14) <= 446464417259520;

%C a(15) <= 23613006957281280;

%C a(16) <= 22227004800;

%C a(17) <= 3134896756992000;

%C a(18) <= 15414516736819200;

%C a(20) <= 53129265653882880.

%C a(16) = 8420630400. - _Giovanni Resta_, Aug 25 2018

%H Tomohiro Yamada, <a href="http://ami.ektf.hu/uploads/papers/finalpdf/AMI_47_from211to218.pdf">Infinitary superperfect numbers</a>, Annales Mathematicae et Informaticae, 47 (2017) pp. 211-218. See Table 1.

%Y Cf. A049417, A318182.

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

%K nonn,more

%O 1,2

%A _Michel Marcus_, Aug 23 2018

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Last modified September 3 23:03 EDT 2024. Contains 375679 sequences. (Running on oeis4.)