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Revision History for A329419 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Numbers all of whose divisors are binary palindromes.
(history; published version)
#11 by Peter Luschny at Sat Nov 30 09:19:47 EST 2019
STATUS

reviewed

approved

#10 by Joerg Arndt at Sat Nov 30 05:13:51 EST 2019
STATUS

proposed

reviewed

#9 by Amiram Eldar at Sat Nov 30 03:19:17 EST 2019
STATUS

editing

proposed

#8 by Amiram Eldar at Sat Nov 30 02:46:53 EST 2019
LINKS

Amiram Eldar, <a href="/A329419/b329419.txt">Table of n, a(n) for n = 1..10000</a>

STATUS

approved

editing

#7 by Alois P. Heinz at Fri Nov 29 18:23:08 EST 2019
STATUS

proposed

approved

#6 by Amiram Eldar at Fri Nov 29 18:16:16 EST 2019
STATUS

editing

proposed

#5 by Amiram Eldar at Fri Nov 29 17:04:30 EST 2019
CROSSREFS

Supersequence of A016041.

#4 by Amiram Eldar at Fri Nov 29 16:53:51 EST 2019
NAME

allocated for Amiram EldarNumbers all of whose divisors are binary palindromes.

DATA

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

OFFSET

1,2

COMMENTS

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

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
KEYWORD

allocated

nonn,base

AUTHOR

Amiram Eldar, Nov 29 2019

STATUS

approved

editing

#3 by Amiram Eldar at Fri Nov 29 16:53:51 EST 2019
NAME

allocated for Amiram Eldar

KEYWORD

recycled

allocated

#2 by Eric Angelini at Thu Nov 28 08:04:43 EST 2019
NAME

allocated for Eric Angelini

KEYWORD

allocated

recycled