A349306 Numbers k that divide A092694(k).

1, 8, 16, 27, 32, 54, 64, 81, 108, 125, 128, 162, 216, 243, 250, 256, 324, 343, 432, 486, 500, 512, 625, 648, 686, 729, 864, 972, 1000, 1024, 1029, 1250, 1296, 1331, 1372, 1458, 1728, 1944, 2000, 2048, 2058, 2187, 2197, 2401, 2500, 2592, 2662, 2744, 2916, 3087

Offset: 1

Author

Amiram Eldar, Nov 14 2021

Keywords

• nonn

Comments

Includes all the numbers of the form 2^k * m, where k >= 0 and m is an odd cubefull number, except for 2 and 4. In particular, includes all the cubefull numbers (A036966).

Terms whose odd part is not cubefull are 1029, 2058, 3087, 4116, 6174, 6591, ...

Examples

			8 is a term since A092694(8) = 8 is divisible by 8.
16 is a term since A092694(16) = 64 is divisible by 16.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000265, A082897, A092694.

A036966 is a subsequence.

Programs

Mathematica

Select[Range[3000], Divisible[Times @@ FixedPointList[EulerPhi, #]/#, #] &]