A322690 Four-column table read by rows: Primitive distinct quadruples that have the same value of phi, sigma, and tau.

1167320, 1197912, 1275318, 1345542, 3502548, 3536232, 3684252, 3695412, 4846520, 4980792, 5302638, 5594622, 5196000, 5299680, 5857830, 6000150, 5276448, 5568672, 5605308, 5764220, 6115656, 6510834, 6866106, 6869346, 6119520, 6159780, 6586650, 6928350

Offset

1,1

Comments

The terms are consecutive quadruples, ordered so that (A) a(4i-3) < a(4i-2) < a(4i-1) < a(4i) for i > 0, and (B) a(4i+1) < a(4i+5) for i >= 0. This sequence has primitive terms only. If k is relatively prime to all of the terms in a primitive quadruple, then multiplying the terms in that quadruple by k gives another solution - see A322680.

Links

Jud McCranie, Table of n, a(n) for n = 1..4000

Example

1167320, 1197912, 1275318, and 1345542 have the same value of phi (362880), sigma (3283200), and tau (64), so these four numbers are in the sequence.

Crossrefs

Cf. A134922, A322680, A322688, A322689, A322691, A322692, A322693, A322694, A322695, A322696, A322697.

Sequence in context: A210181 A204307 A233664 * A322680 A288077 A112043

Adjacent sequences: A322687 A322688 A322689 * A322691 A322692 A322693

Keyword

nonn,tabf

Author

Jud McCranie, Dec 30 2018

Status

approved