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A045799 In the list of divisors of n (in binary), each digit 0-1 appears equally often. 2
100, 10001, 10100, 11000, 100100, 1000011, 1001001, 1001010, 1001100, 1010010, 1011000, 1100001, 1100100, 1101000, 1110000, 10101010, 11001100, 11011000, 11110000, 100000111, 100001101, 100010101, 100010110, 100011001, 100011100 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The corresponding decimal values of the terms are 4, 17, 20, 24, 36, 67, 73, 74, 76, 82, 88, 97, 100, 104, 112, 170, 204, 216, 240, 263, 269, 277, 278, 281, 284, ... - Amiram Eldar, Sep 08 2019
LINKS
N. Nomoto, In the list of divisors of n,... [Dead link]
EXAMPLE
E.g. divisors of 10100 are (1, 10, 100, 101, 1010, 10100); the numbers of digits (0-1) are [ 0(9),1(9) ].
MATHEMATICA
fQ[v_] := Length[v] == 2 && v[[1]] == v[[2]]; aQ[n_] := fQ[(Tally @ Flatten @ Join @ IntegerDigits[Divisors[n], 2])[[;; , 2]]]; FromDigits /@ IntegerDigits[Select[ Range[284], aQ], 2] (* Amiram Eldar, Sep 08 2019 *)
CROSSREFS
Sequence in context: A029794 A029801 A098608 * A096885 A267449 A266752
KEYWORD
easy,nonn,base
AUTHOR
STATUS
approved

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Last modified March 28 07:20 EDT 2024. Contains 371235 sequences. (Running on oeis4.)