

A295299


Numbers n such that the sum of the divisors (A000203) and the binary weight of n (A000120) have different parity.


3



7, 9, 11, 13, 14, 18, 19, 21, 22, 26, 28, 31, 35, 36, 37, 38, 41, 42, 44, 47, 52, 55, 56, 59, 61, 62, 67, 69, 70, 72, 73, 74, 76, 79, 82, 84, 87, 88, 91, 93, 94, 97, 103, 104, 107, 109, 110, 112, 115, 117, 118, 122, 124, 127, 131, 133, 134, 137, 138, 140, 143, 144, 145, 146, 148, 151, 152, 155, 157, 158, 161, 164, 167, 168, 169
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OFFSET

1,1


COMMENTS

Numbers n for which A010059(n) = A053866(n).
This sequence is the union of all terms of A028982 (squares and twice squares) that are evil (A001969), and all odious numbers (A000069) that are neither a square or twice a square. See also A231431, A235001.
This is a subsequence of A004169, numbers n such that phi(n) is not a power of 2. See comment in A295298 for the reason why.  Antti Karttunen, Nov 27 2017


LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10000
Index entries for sequences related to binary expansion of n


MATHEMATICA

Select[Range@ 169, UnsameQ @@ Map[EvenQ, {DivisorSigma[1, #], DigitCount[#, 2, 1]}] &] (* Michael De Vlieger, Nov 26 2017 *)


CROSSREFS

Complement of A295298.
Subsequence of A004169.
Cf. A000069, A001969, A000120, A000203, A010059, A028982, A053866, A231431, A235001, A295297 (characteristic function).
Sequence in context: A161992 A167377 A004169 * A066669 A059808 A020742
Adjacent sequences: A295296 A295297 A295298 * A295300 A295301 A295302


KEYWORD

nonn


AUTHOR

Antti Karttunen, Nov 26 2017


STATUS

approved



