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A322692 Six-column table read by rows: Primitive distinct sextuples that have the same value of phi, sigma, and tau. 17

%I #28 Feb 15 2019 03:09:10

%S 98422632,98724000,99373500,100693920,101356380,111298770,98724000,

%T 99373500,100693920,101356380,111298770,114002850,152611020,152891400,

%U 161014380,162770850,171652650,171733650,173949984,185635044,187420296,195265356,195856836,210450786

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

%C The terms are consecutive sextuples, ordered so that (A) a(6i-5) < a(6i-4) < ... < a(6i) for i > 0, and (B) a(6i+1) < a(6i+7) for i >= 0. This sequence has primitive solutions only. If k is relatively prime to all of the terms in a primitive sextuple, then multiplying the terms in that sextuple by k gives another solution - see A322682.

%H Jud McCranie, <a href="/A322692/b322692.txt">Table of n, a(n) for n = 1..6000</a>

%e 98422632, 98724000, 99373500, 100693920, 101356380, and 111298770 have the same value of phi (24883200), sigma (341228160), and tau (192), so these six numbers are in the sequence.

%Y Cf. A134922, A322682, A322688, A322689, A322690, A322691, A322693, A322694, A322695, A322696, A322697.

%K nonn,tabf

%O 1,1

%A _Jud McCranie_, Dec 30 2018

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