

A265999


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


1



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

1,2


COMMENTS

All powers of 2, all prime numbers and all even perfect numbers are members of this sequence.
For more information about the symmetric representation of sigma see A237270 and A237593.


LINKS



EXAMPLE

9 is not in the sequence because the parts of the symmetric representation of sigma(9) = 13 are [5, 3, 5].
10 is in the sequence because the parts of the symmetric representation of sigma(10) = 18 are [9, 9].


CROSSREFS

Cf. A000040, A000079, A000203, A000396, A196020, A235791, A236104, A237270, A237271, A237591, A237593, A239660, A239931A239934, A245092, A262626, A266000.


KEYWORD

nonn


AUTHOR



STATUS

approved



