A385852 Integers x such that there exist two integers 0<x<=y<=z such that psi(x) = psi(y) = psi(z) = x + y + z.

79170, 150150, 158340, 161070, 232050, 237510, 300300, 316680, 322140, 395850, 450450, 464100, 468930, 474810, 475020, 483210, 554190, 570570, 600600, 622440, 633360, 641550, 644280, 696150, 712530, 750750, 791700, 805350, 937860, 949620, 950040, 963270, 966420

Offset

1,1

Comments

The numbers x, y and z form a psi-amicable triple according to Dimitrov's definition.

Links

Table of n, a(n) for n=1..33.

S. I. Dimitrov, On psi-amicable numbers and their generalizations, arXiv:2508.02318 [math.NT], 2025.

Example

79170 is in the sequence since psi(79170) = psi(80850) = psi(81900) = 241920 = 79170 + 80850 + 81900. Other examples: (161070, 161070, 161700), (7063980, 7112490, 7112490).

Crossrefs

Cf. A001615, A125490, A323329, A386901, A386933.

Sequence in context: A264950 A390178 A204570 * A183640 A157661 A387586

Adjacent sequences: A385849 A385850 A385851 * A385853 A385854 A385855

Keyword

nonn

Author

S. I. Dimitrov, Aug 07 2025

Status

approved