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

Author

Jud McCranie, Dec 30 2018

Keywords

• nonn
• tabf

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.

Examples

			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.
		

Links

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

Crossrefs

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