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

Author

Jud McCranie, Dec 23 2018

Keywords

• nonn
• tabf

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.

Examples

			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.
		

Links

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

Crossrefs

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