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A322695 Nine-column table read by rows: Primitive distinct 9-tuples that have the same value of phi, sigma, and tau. 11

%I #28 Feb 14 2019 19:08:49

%S 4337267040,4548689376,4577446560,4578614964,4606647660,4607561340,

%T 5024337318,5056654590,5059532610,4343835816,4344550776,4467333640,

%U 4467573880,4583778744,4584409224,4879970766,4880641986,5149389234,4775185440,5003255712,5007954336,5036171868,5039648160,5040901404,5072803740

%N Nine-column table read by rows: Primitive distinct 9-tuples that have the same value of phi, sigma, and tau.

%C The terms are consecutive 9-tuples, ordered so that (A) a(9i-8) < a(9i-7) < ... < a(9i) for i > 0, and (B) a(9i+1) < a(9i+10) for i >= 0. This sequence has primitive solutions only. If k is relatively prime to all the terms in a primitive 9-tuple, then multiplying the terms in that 9-tuple by k gives another solution - see A322685.

%H Jud McCranie, <a href="/A322695/b322695.txt">Table of n, a(n) for n = 1..1242</a>

%e 4337267040, 4548689376, 4577446560, 4578614964, 4606647660, 4607561340, 5024337318, 5056654590, and 5059532610 have the same value of phi (1106472960), sigma (15850598400), and tau (384), so these nine numbers are in the sequence.

%Y Cf. A134922, A322685, A322688, A322689, A322690, A322691, A322692, A322693, A322694, A322696, A322697.

%K nonn,tabf

%O 1,1

%A _Jud McCranie_, Dec 30 2018

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