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A322696 Ten-column table read by rows: Primitive distinct 10-tuples that have the same value of phi, sigma, and tau. 12

%I #19 Feb 14 2019 19:09:51

%S 5701466232,5806935288,5824716000,5863036500,5940941280,5978840580,

%T 5980026420,6376872150,6520948434,6566627430,5806935288,5824716000,

%U 5863036500,5940941280,5978840580,5980026420,6376872150,6520948434,6566627430,6726168150

%N Ten-column table read by rows: Primitive distinct 10-tuples that have the same value of phi, sigma, and tau.

%C The terms are consecutive 10-tuples, ordered so that (A) a(10i-9) < a(10i-8) < ... < a(10i) for i > 0, and (B) a(10i+1) < a(10i+11) for i >= 0. This sequence has primitive solutions only. If k is relatively prime to all of the terms in a primitive 10-tuple, then multiplying the terms in that 10-tuple by k gives another solution - see A322686.

%H Jud McCranie, <a href="/A322696/b322696.txt">Table of n, a(n) for n = 1..300</a>

%e 5701466232, 5806935288, 5824716000, 5863036500, 5940941280, 5978840580, 5980026420, 6376872150, 6520948434, and 6566627430 have the same value of phi (1443225600), sigma (20473689600), and tau (384), so these ten numbers are in the sequence.

%Y Cf. A134922, A322686, A322688, A322689, A322690, A322691, A322692, A322693, A322694, A322695, A322697.

%K nonn,tabf

%O 1,1

%A _Jud McCranie_, Dec 30 2018

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)