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Second numbers with the same values for sigma_0(n) and sigma(n) as one or more other numbers.
4

%I #3 Mar 30 2012 17:35:23

%S 15,35,51,69,95,56,115,70,143,145,155,159,110,177,135,205,235,154,265,

%T 287,195,140,295,184,329,231,335,377,355,238,325,339,413,266,415,286,

%U 220,473,445,497,310,533,447,589,583,374,501,455,308,565,537,376,270

%N Second numbers with the same values for sigma_0(n) and sigma(n) as one or more other numbers.

%C Numbers n such that for exactly one m < n, sigma(n) = sigma(m) and sigma_0(n) = sigma_0(m). There may be more such m > n.

%C The associated m values are in A162279.

%C See the a-file for a PARI program and more values.

%H Franklin T. Adams-Watters, <a href="/A162279/a162279.txt">Table of duplicate sigma values up to sigma(n) = 10000</a>

%e sigma(14) = sigma(15) = 24, sigma_0(14) = sigma_0(15) = 4, so 15 is in the sequence. sigma(16) = sigma(25) = 31, but sigma_0(16) = 5 != sigma_0(25) = 3, so 25 is not in the sequence

%Y Cf. A000005, A000203, A162279, A162281, A162282, A162283.

%K nonn

%O 1,1

%A _Franklin T. Adams-Watters_, Jun 29 2009