A322695 Nine-column table read by rows: Primitive distinct 9-tuples that have the same value of phi, sigma, and tau.

4337267040, 4548689376, 4577446560, 4578614964, 4606647660, 4607561340, 5024337318, 5056654590, 5059532610, 4343835816, 4344550776, 4467333640, 4467573880, 4583778744, 4584409224, 4879970766, 4880641986, 5149389234, 4775185440, 5003255712, 5007954336, 5036171868, 5039648160, 5040901404, 5072803740

Offset: 1

Author

Jud McCranie, Dec 30 2018

Keywords

• nonn
• tabf

Comments

The terms are consecutive 9-tuples, ordered so that (A) a(9i-8) < a(9i-7) < ... < a(9i) for i > 0, and (B) a(9i+1) < a(9i+10) for i >= 0. This sequence has primitive solutions only. If k is relatively prime to all the terms in a primitive 9-tuple, then multiplying the terms in that 9-tuple by k gives another solution - see A322685.

Examples

			4337267040, 4548689376, 4577446560, 4578614964, 4606647660, 4607561340, 5024337318, 5056654590, and 5059532610 have the same value of phi (1106472960), sigma (15850598400), and tau (384), so these nine numbers are in the sequence.
		

Links

• Jud McCranie, Table of n, a(n) for n = 1..1242

Crossrefs

Cf. A134922, A322685, A322688, A322689, A322690, A322691, A322692, A322693, A322694, A322696, A322697.