|
|
A334529
|
|
Numbers that are both binary palindromes and binary Niven numbers.
|
|
2
|
|
|
1, 21, 273, 4161, 22517, 28347, 65793, 69905, 81913, 87381, 106483, 109483, 121143, 292721, 299593, 317273, 319449, 350933, 354101, 368589, 378653, 421811, 470951, 479831, 1049601, 1135953, 1171313, 1172721, 1208009, 1257113, 1269593, 1295481, 1332549, 1371877
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
LINKS
|
|
|
EXAMPLE
|
21 is a term since its binary representation, 10101, is palindromic, and 1 + 0 + 1 + 0 + 1 = 3 is a divisor of 21.
|
|
MATHEMATICA
|
Select[Range[10^6], PalindromeQ[(d = IntegerDigits[#, 2])] && Divisible[#, Plus @@ d] &]
|
|
PROG
|
(Python)
def ok(n): b = bin(n)[2:]; return b==b[::-1] and n%sum(map(int, b)) == 0
def aupto(nn): return [m for m in range(1, nn+1) if ok(m)]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|