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

63048, 67122, 70818, 106120, 115938, 122322, 121352, 122120, 137170, 133920, 140448, 141372, 206112, 207468, 218892, 226632, 242730, 254562, 227304, 228000, 229500, 247968, 260832, 262548, 273824, 290812, 290852, 282720, 284580, 298452, 302560, 319396, 342550, 330144, 332316, 364914

Offset

1,1

Comments

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.

Links

Jud McCranie, Table of n, a(n) for n = 1..3000

Example

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.

Crossrefs

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

Sequence in context: A135430 A049025 A322679 * A234080 A232264 A209713

Adjacent sequences: A322686 A322687 A322688 * A322690 A322691 A322692

Keyword

nonn,tabf

Author

Jud McCranie, Dec 23 2018

Status

approved