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 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 (list; graph; refs; listen; history; text; internal format)
 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 Table of n, a(n) for n=1..73. 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, A239931-A239934, A245092, A262626, A266000. Sequence in context: A324721 A327534 A305732 * A316502 A316495 A356316 Adjacent sequences: A265996 A265997 A265998 * A266000 A266001 A266002 KEYWORD nonn AUTHOR Omar E. Pol, Dec 19 2015 STATUS approved

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Last modified September 10 07:40 EDT 2024. Contains 375773 sequences. (Running on oeis4.)