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Numbers n such that in the symmetric representation of sigma(n) all parts are of the same size.
1

%I #35 Jan 02 2016 04:32:53

%S 1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,22,23,24,26,28,29,

%T 30,31,32,34,36,37,38,40,41,42,43,44,46,47,48,52,53,54,56,58,59,60,61,

%U 62,64,66,67,68,71,72,73,74,76,78,79,80,82,83,84,86,88,89,90,92,94,96,97,100

%N Numbers n such that in the symmetric representation of sigma(n) all parts are of the same size.

%C All powers of 2, all prime numbers and all even perfect numbers are members of this sequence.

%C For more information about the symmetric representation of sigma see A237270 and A237593.

%e 9 is not in the sequence because the parts of the symmetric representation of sigma(9) = 13 are [5, 3, 5].

%e 10 is in the sequence because the parts of the symmetric representation of sigma(10) = 18 are [9, 9].

%Y Cf. A000040, A000079, A000203, A000396, A196020, A235791, A236104, A237270, A237271, A237591, A237593, A239660, A239931-A239934, A245092, A262626, A266000.

%K nonn

%O 1,2

%A _Omar E. Pol_, Dec 19 2015