A322697 Eleven-column table read by rows: Primitive distinct 11-tuples that have the same value of phi, sigma, and tau.

5701466232, 5806935288, 5824716000, 5863036500, 5940941280, 5978840580, 5980026420, 6376872150, 6520948434, 6566627430, 6726168150, 28249479864, 29028683320, 29045194360, 29849886456, 29850170376, 31778709534, 31888948266, 33524950602, 33528569646, 33543272334, 33644878554

Offset

1,1

Comments

The terms are consecutive 11-tuples, ordered so that (A) a(11i-10) < a(11i-9) < ... < a(11i) for i > 0, and (B) a(11i+1) < a(11i+12) for i >= 0. This sequence has primitive solutions only. If k is relatively prime to all of the terms in a primitive 11-tuple, then multiplying the terms in that 11-tuple by k gives another solution - see A322687.

Links

Jud McCranie, Table of n, a(n) for n = 1..55

Example

5701466232, 5806935288, 5824716000, 5863036500, 5940941280, 5978840580, 5980026420, 6376872150, 6520948434, 6566627430, and 6726168150 have the same value of phi (1443225600), sigma (20473689600), and tau (384), so these eleven numbers are in the sequence.

Crossrefs

Cf. A134922, A322687, A322688, A322689, A322690, A322691, A322692, A322693, A322694, A322695, A322696.

Sequence in context: A322686 A322696 A322687 * A365144 A114260 A344737

Adjacent sequences: A322694 A322695 A322696 * A322698 A322699 A322700

Keyword

nonn,tabf

Author

Jud McCranie, Dec 30 2018

Extensions

More terms from Jud McCranie, Jan 13 2019

Status

approved