A376857 Fixed points of A162742.

1, 3, 5, 7, 9, 15, 17, 21, 25, 27, 31, 35, 45, 49, 51, 63, 73, 75, 81, 85, 93, 105, 107, 119, 125, 127, 135, 143, 147, 153, 155, 175, 189, 217, 219, 225, 243, 245, 255, 257, 279, 289, 313, 315, 321, 343, 357, 365, 375, 381, 405, 425, 429, 441, 443, 459, 465, 511, 525, 527, 535

Offset: 1

Author

Paolo Xausa, Oct 07 2024

Keywords

• nonn
• base

Comments

First differs from A342572 at n = 28. In the present sequence a(28) = 143 = 11 * 13: 11 and 13 are the binary reversals of each other but neither is a binary palindrome, so 143 is not in A342572.

Links

• Paolo Xausa, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A162742. Supersequence of A342572.

Programs

Mathematica

A376857Q[k_] := k == Times @@ (IntegerReverse[#1, 2]^#2 & @@@ FactorInteger[k]);
Select[Range[1000], A376857Q]

Python

# uses function, imports in A162742
def ok(n): return n > 0 and n == A162742(n)
print([k for k in range(536) if ok(k)]) # Michael S. Branicky, Oct 07 2024