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A329419
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Numbers all of whose divisors are binary palindromes.
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13
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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
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OFFSET
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1,2
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COMMENTS
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Subsequence of A163410, and differs from it from n = 65.
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LINKS
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EXAMPLE
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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.
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MATHEMATICA
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binPalQ[n_] := PalindromeQ @ IntegerDigits[n, 2]; seqQ[n_] := binPalQ[n] && AllTrue[Most @ Divisors[n], binPalQ]; Select[Range[10^4], seqQ]
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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