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

1,2

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, ...

Links

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

Example

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

Mathematica

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

Crossrefs

Cf. A000265, A082897, A092694.

A036966 is a subsequence.

Sequence in context: A360558 A107606 A354561 * A245713 A320966 A377847

Adjacent sequences: A349303 A349304 A349305 * A349307 A349308 A349309

Keyword

nonn

Author

Amiram Eldar, Nov 14 2021

Status

approved