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

1,2

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

Mathematica

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

Prog

(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

Crossrefs

Cf. A162742. Supersequence of A342572.

Sequence in context: A258159 A238257 A305409 * A342572 A374199 A359402

Adjacent sequences: A376854 A376855 A376856 * A376858 A376859 A376860

Keyword

nonn,base

Author

Paolo Xausa, Oct 07 2024

Status

approved