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%I #8 Jun 17 2013 12:54:42
%S 52,56,2199,17312,92444,31768040,41159079,52236776,79563436,683321810,
%T 689969123,757808252,881421986,910016369,22184779055
%N Numbers n such that sigma(n) + sigma(n+1) + sigma(n+2) = sigma(n+3) + sigma(n+4) + sigma(n+5).
%C The sequence of corresponding sums begins: 272, 290, 10820, 86514, 473568, 162349956, 203060920, 258797664, 398693936, 3418531584, 3544794576, 3812186016, 4066082208, 4374966816.
%e Sigma(52) + sigma(53) + sigma(54) = 98 + 54 + 120 = 272.
%e Sigma(55) + sigma(56) + sigma(57) = 72 + 120 + 80 = 272.
%e So 52 is in the sequence.
%Y Cf. A000203, A055574, A065900, A073500, A099632, A226361, A226475.
%K nonn,more
%O 1,1
%A _Alex Ratushnyak_, Jun 16 2013
%E a(15) from _Giovanni Resta_, Jun 17 2013