A386901 Integers y such that there exist two integers 0

80850, 158340, 161070, 161700, 232050, 242550, 316680, 322140, 323400, 404250, 464100, 474810, 475020, 483210, 485100, 485940, 565950, 633360, 641550, 644280, 646800, 662340, 696150, 727650, 791700, 805350, 808500, 963270, 966420, 967890, 970200, 971880

Offset: 1

Author

S. I. Dimitrov, Aug 07 2025

Keywords

• nonn
• new

Comments

The numbers x, y and z form a psi-amicable triple.

Examples

			158340 is in the sequence since psi(150150) = psi(158340) = psi(175350) = 483840 = 150150 + 158340 + 175350. Other examples: (232050, 232050, 261660), (7091700, 7098630, 7098630).
		

Links

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

Crossrefs

Cf. A001615, A125491, A323329, A385852, A386933.