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A143072
A positive integer n is included if both the number of 0's and the number of 1's in the binary representation of n are powers of 2 (including being possibly 1).
3
2, 4, 5, 6, 9, 10, 12, 16, 23, 27, 29, 30, 33, 34, 36, 39, 40, 43, 45, 46, 48, 51, 53, 54, 57, 58, 60, 135, 139, 141, 142, 147, 149, 150, 153, 154, 156, 163, 165, 166, 169, 170, 172, 177, 178, 180, 184, 195, 197, 198, 201, 202, 204, 209, 210, 212, 216, 225, 226, 228
OFFSET
1,1
LINKS
FORMULA
A209229(A000120(a(n))) * A209229(A023416(a(n))) = 1. - Reinhard Zumkeller, Sep 14 2014
EXAMPLE
34 in binary is 100010. This has 4 zeros and 2 ones. And since 4 and 2 are both powers of 2, 34 is included in the sequence.
MATHEMATICA
p2Q[n_]:=And@@(IntegerQ[Log[2, #]]&/@DigitCount[n, 2]); Select[Range[250], p2Q] (* Harvey P. Dale, Aug 20 2013 *)
PROG
(Haskell)
a143072 n = a143072_list !! (n-1)
a143072_list = filter ((== 1) . a209229 . a023416) a143071_list
-- Reinhard Zumkeller, Sep 14 2014
CROSSREFS
KEYWORD
base,nonn,look
AUTHOR
Leroy Quet, Jul 22 2008
EXTENSIONS
Extended by Ray Chandler, Jun 20 2009
STATUS
approved