

A190149


Even numbers n (written in binary) such that in base 2 lunar arithmetic, the sum of the divisors of n is a number containing a 0 (in binary).


3



10010, 100010, 100110, 110010, 1000010, 1000100, 1000110, 1001010, 1001110, 1010010, 1100010, 1100110, 1110010, 10000010, 10000100, 10000110, 10001010, 10001100, 10001110, 10010010, 10010110, 10011010, 10011110, 10100010, 10100110, 10110010, 11000010, 11000100, 11000110, 11001010, 11001110, 11010010, 11100010, 11100110, 11110010, 100000010, 100000100
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OFFSET

1,1


COMMENTS

As remarked in A188548, if n is even then most of the time A188548(n) = 111...111 that is, a number of the form 2^k1). This sequence lists the exceptions.


LINKS

Table of n, a(n) for n=1..37.
D. Applegate, M. LeBrun and N. J. A. Sloane, Dismal Arithmetic [Note: we have now changed the name from "dismal arithmetic" to "lunar arithmetic"  the old name was too depressing]
D. Applegate, M. LeBrun, N. J. A. Sloane, Dismal Arithmetic, J. Int. Seq. 14 (2011) # 11.9.8.
Index entries for sequences related to dismal (or lunar) arithmetic


EXAMPLE

In base 2 lunar arithmetic, the divisors of 10010 are 1, 10, 1001 and 10010, whose sum is 11011.


CROSSREFS

Cf. A188548, A067399. See A190150 and A190151 for the base10 representation of these numbers.
Sequence in context: A176931 A023335 A096211 * A052095 A033533 A146505
Adjacent sequences: A190146 A190147 A190148 * A190150 A190151 A190152


KEYWORD

nonn,base


AUTHOR

N. J. A. Sloane, May 05 2011


STATUS

approved



