A322693 Seven-column table read by rows: Primitive distinct septuples that have the same value of phi, sigma, and tau.

98422632, 98724000, 99373500, 100693920, 101356380, 111298770, 114002850, 306564000, 312681120, 314675820, 335624850, 345611970, 353938650, 354008850, 378502560, 387919200, 390471300, 399564396, 402010740, 428530050, 428773950, 620451360, 650334048, 650695584, 654615840, 654976476, 661275384, 691042044

Offset: 1

Author

Jud McCranie, Dec 30 2018

Keywords

• nonn
• tabf

Comments

The terms are consecutive septuples, ordered so that (A) a(7i-6) < a(7i-5) < ... < a(7i) for i > 0, and (B) a(7i+1) < a(7i+8) for i >= 0. This sequence has primitive solutions only. If k is relatively prime to all of the terms in a primitive septuple, then multiplying the terms in that septuple by k gives another solution - see A322683.

Examples

			98422632, 98724000, 99373500, 100693920, 101356380, 111298770, and 114002850 have the same value of phi (24883200), sigma (341228160), and tau (192), so these seven numbers are in the sequence.
		

Links

• Jud McCranie, Table of n, a(n) for n = 1..7000

Crossrefs

Cf. A134922, A322683, A322688, A322689, A322690, A322691, A322692, A322694, A322695, A322696, A322697.