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

1,1

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.

Links

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

Example

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.

Crossrefs

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

Sequence in context: A184151 A096710 A322682 * A322683 A322693 A251357

Adjacent sequences: A322689 A322690 A322691 * A322693 A322694 A322695

Keyword

nonn,tabf

Author

Jud McCranie, Dec 30 2018

Status

approved