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Amiram Eldar, <a href="/A329419/b329419.txt">Table of n, a(n) for n = 1..10000</a>
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Supersequence of A016041.
allocated for Amiram EldarNumbers all of whose divisors are binary palindromes.
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
1,2
Subsequence of A163410, and differs from it from n = 65.
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.
binPalQ[n_] := PalindromeQ @ IntegerDigits[n, 2]; seqQ[n_] := binPalQ[n] && AllTrue[Most @ Divisors[n], binPalQ]; Select[Range[10^4], seqQ]
allocated
nonn,base
Amiram Eldar, Nov 29 2019
approved
editing
allocated for Amiram Eldar
recycled
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allocated for Eric Angelini
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