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Twelve-column table read by rows: Primitive distinct 12-tuples that have the same value of phi, sigma, and tau.
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%I #5 Feb 14 2019 23:38:56

%S 38848397472,38850486624,39955028960,41002131936,41266440252,

%T 41271882804,41273232372,42433832980,42439669580,42441951860,

%U 43545898068,44591929866

%N Twelve-column table read by rows: Primitive distinct 12-tuples that have the same value of phi, sigma, and tau.

%C The terms are consecutive 12-tuples, ordered so that (A) a(12i-11) < a(11i-10) < ... < a(12i) for i > 0, and (B) a(12i+1) < a(12i+13) for i >= 0. This sequence has primitive solutions only. If k is relatively prime to all of the terms in a primitive 12-tuple, then multiplying the terms in that 12-tuple by k gives another solution.

%e 38848397472, 38850486624, 39955028960, 41002131936, 41266440252, 41271882804, 41273232372, 42433832980, 42439669580, 42441951860, 43545898068, and 44591929866 have the same value of phi (12070840320), sigma (121347072000), and tau (384), so these twelve numbers are in the sequence.

%Y Cf. A134922, A322687, A322688, A322689, A322690, A322691, A322692, A322693, A322694, A322695, A322696, A322697.

%K nonn,tabf,more

%O 1,1

%A _Jud McCranie_, Feb 14 2019