A322692 Six-column table read by rows: Primitive distinct sextuples that have the same value of phi, sigma, and tau.

98422632, 98724000, 99373500, 100693920, 101356380, 111298770, 98724000, 99373500, 100693920, 101356380, 111298770, 114002850, 152611020, 152891400, 161014380, 162770850, 171652650, 171733650, 173949984, 185635044, 187420296, 195265356, 195856836, 210450786

Offset: 1

Author

Jud McCranie, Dec 30 2018

Keywords

• nonn
• tabf

Comments

The terms are consecutive sextuples, ordered so that (A) a(6i-5) < a(6i-4) < ... < a(6i) for i > 0, and (B) a(6i+1) < a(6i+7) for i >= 0. This sequence has primitive solutions only. If k is relatively prime to all of the terms in a primitive sextuple, then multiplying the terms in that sextuple by k gives another solution - see A322682.

Examples

			98422632, 98724000, 99373500, 100693920, 101356380, and 111298770 have the same value of phi (24883200), sigma (341228160), and tau (192), so these six numbers are in the sequence.
		

Links

• Jud McCranie, Table of n, a(n) for n = 1..6000

Crossrefs

Cf. A134922, A322682, A322688, A322689, A322690, A322691, A322693, A322694, A322695, A322696, A322697.