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A322689 Three-column table read by rows: Primitive distinct triples that have the same value of phi, sigma, and tau. 14

%I #38 Feb 16 2019 21:09:25

%S 63048,67122,70818,106120,115938,122322,121352,122120,137170,133920,

%T 140448,141372,206112,207468,218892,226632,242730,254562,227304,

%U 228000,229500,247968,260832,262548,273824,290812,290852,282720,284580,298452,302560,319396,342550,330144,332316,364914

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

%C The terms are consecutive triples, ordered so that (A) a(3i-2) < a(3i-1) < a(3i), and (B) a(3i-2) < a(3j-2) for i < j. This sequence has primitive terms only. If k is relatively prime to all of the terms in a primitive triple, then multiplying the terms in that triple by k gives another solution - see A322679.

%H Jud McCranie, <a href="/A322689/b322689.txt">Table of n, a(n) for n = 1..3000</a>

%e phi(63048) = phi(67122) = phi(70818) = 20160, sigma(63048) = sigma(67122) = sigma(70818) = 164160, tau(63048) = tau(67122) = tau(70818) = 32, so 63048, 67122, and 70818 are in the sequence.

%Y Cf. A134922, A322679, A322688, A322690, A322691, A322692, A322693, A322694, A322695, A322696, A322697.

%K nonn,tabf

%O 1,1

%A _Jud McCranie_, Dec 23 2018

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