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A329419 Numbers all of whose divisors are binary palindromes. 13
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
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
Supersequence of A016041.
Sequence in context: A180204 A006995 A163410 * A235264 A064896 A076188
KEYWORD
nonn,base
AUTHOR
Amiram Eldar, Nov 29 2019
STATUS
approved

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Last modified March 28 16:34 EDT 2024. Contains 371254 sequences. (Running on oeis4.)