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

1,1

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.

Links

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

Example

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.

Crossrefs

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

Sequence in context: A322682 A322692 A322683 * A251357 A168640 A202722

Adjacent sequences: A322690 A322691 A322692 * A322694 A322695 A322696

Keyword

nonn,tabf

Author

Jud McCranie, Dec 30 2018

Status

approved