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A329419 Numbers all of whose divisors are binary palindromes. 10
1, 3, 5, 7, 9, 15, 17, 21, 27, 31, 45, 51, 63, 73, 85, 93, 107, 119, 127, 153, 189, 219, 255, 257, 313, 365, 381, 443, 511, 765, 771, 1193, 1241, 1285, 1453, 1533, 1571, 1619, 1787, 1799, 1831, 1879, 2313, 3579, 3855, 4369, 4889, 5113, 5189, 5397, 5557, 5869 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Subsequence of A163410, and differs from it from n = 65.

LINKS

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

EXAMPLE

15 is in the sequence since the binary representations of its divisors, 1, 3, 5, and 15, are all palindromes: 1, 11, 101, and 1111.

MATHEMATICA

binPalQ[n_] := PalindromeQ @ IntegerDigits[n, 2]; seqQ[n_] := binPalQ[n] && AllTrue[Most @ Divisors[n], binPalQ]; Select[Range[10^4], seqQ]

CROSSREFS

Cf. A006995, A062687, A163410.

Supersequence of A016041.

Sequence in context: A180204 A006995 A163410 * A235264 A064896 A076188

Adjacent sequences:  A329416 A329417 A329418 * A329420 A329421 A329422

KEYWORD

nonn,base

AUTHOR

Amiram Eldar, Nov 29 2019

STATUS

approved

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Last modified October 19 08:29 EDT 2021. Contains 348074 sequences. (Running on oeis4.)