A322694 Eight-column table read by rows: Primitive distinct octuples that have the same value of phi, sigma, and tau.

1068277140, 1070239800, 1078550760, 1123696860, 1127100660, 1139395950, 1201568550, 1202135550, 2145948000, 2188767840, 2202730740, 2317003260, 2349373950, 2419283790, 2477570550, 2478061950, 2232975640, 2234245720, 2296145112, 2296166952, 2444516118, 2578842354, 2579120742, 2580251718, 2739065760

Offset

1,1

Comments

The terms are consecutive octuples, ordered so that (A) a(8i-7) < a(8i-6) < ... < a(8i) for i > 0, and (B) a(8i+1) < a(8i+9) for i >= 0. This sequence has primitive solutions only. If k is relatively prime to all of the terms in a primitive octuple, then multiplying the terms in that octuple by k gives another solution - see A322684.

Links

Jud McCranie, Table of n, a(n) for n = 1..4048

Example

1068277140, 1070239800, 1078550760, 1123696860, 1127100660, 1139395950, 1201568550, 1202135550 have the same value of phi (232243200), sigma (3989744640), and tau (384), so these eight numbers are in the sequence.

Crossrefs

Cf. A134922, A322684, A322688, A322689, A322690, A322691, A322692, A322693, A322695, A322696, A322697.

Sequence in context: A346652 A049446 A322684 * A227201 A011580 A017002

Adjacent sequences: A322691 A322692 A322693 * A322695 A322696 A322697

Keyword

nonn,tabf

Author

Jud McCranie, Dec 30 2018

Status

approved