

A228236


Numbers k for which a sum k+bitcount(k) can be also obtained as a sum k2 +bitcount(k2) for some other k2<>k . Here bitcount(k) (A000120) gives the number of 1's in binary representation of nonnegative integer k.


4



3, 4, 11, 12, 14, 15, 16, 17, 19, 20, 27, 28, 29, 31, 32, 34, 35, 36, 43, 44, 46, 47, 48, 49, 51, 52, 59, 60, 62, 65, 67, 68, 75, 76, 78, 79, 80, 81, 83, 84, 91, 92, 93, 95, 96, 98, 99, 100, 107, 108, 110, 111, 112, 113, 115, 116, 123, 124, 125, 126, 127, 128
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OFFSET

1,1


COMMENTS

In other words, numbers k such that A228085(A092391(k)) > 1.


LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10000


EXAMPLE

0 is not in this sequence because the sum 0+A000120(0)=0 cannot be obtained with any other value of k than k=0.
1 is not in this sequence because the sum 1+A000120(1)=2 cannot be obtained with any other value of k than k=1.
2 is not in this sequence because the sum 2+A000120(2)=3 cannot be obtained with any other value of k than k=2.
3 IS in this sequence because the sum 3+A000120(3)=5 can also be obtained with value k=4, as also 4+A000120(4)=5, and thus also 4 is in this sequence.


PROG

(Scheme, with Antti Karttunen's IntSeqlibrary) (define A228236 (MATCHINGPOS 1 0 (lambda (k) (> (A228085 (A092391 k)) 1))))


CROSSREFS

Complement: A228090. Subsets: A228091, A228237. Cf. also A092391, A228085.
Sequence in context: A232862 A195589 A244005 * A047457 A226632 A098377
Adjacent sequences: A228233 A228234 A228235 * A228237 A228238 A228239


KEYWORD

nonn


AUTHOR

Antti Karttunen, Aug 17 2013


STATUS

approved



