A306430 Twelve-column table read by rows: Primitive distinct 12-tuples that have the same value of phi, sigma, and tau.

38848397472, 38850486624, 39955028960, 41002131936, 41266440252, 41271882804, 41273232372, 42433832980, 42439669580, 42441951860, 43545898068, 44591929866

Offset

1,1

Comments

The terms are consecutive 12-tuples, ordered so that (A) a(12i-11) < a(11i-10) < ... < a(12i) for i > 0, and (B) a(12i+1) < a(12i+13) for i >= 0. This sequence has primitive solutions only. If k is relatively prime to all of the terms in a primitive 12-tuple, then multiplying the terms in that 12-tuple by k gives another solution.

Links

Table of n, a(n) for n=1..12.

Example

38848397472, 38850486624, 39955028960, 41002131936, 41266440252, 41271882804, 41273232372, 42433832980, 42439669580, 42441951860, 43545898068, and 44591929866 have the same value of phi (12070840320), sigma (121347072000), and tau (384), so these twelve numbers are in the sequence.

Crossrefs

Cf. A134922, A322687, A322688, A322689, A322690, A322691, A322692, A322693, A322694, A322695, A322696, A322697.

Sequence in context: A234072 A112446 A295460 * A216018 A256842 A225886

Adjacent sequences: A306427 A306428 A306429 * A306431 A306432 A306433

Keyword

nonn,tabf,more

Author

Jud McCranie, Feb 14 2019

Status

approved