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It is a subsequence Subsequence of A162439.
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Let n=17, A233564(17)=37. In binary a concatenation of parts of the form 10...0 which gives 37 is (100)(10)(1). Thus a(17)= 4+2+1 = 7.
which gives 37 is (100)(10)(1). Thus a(17)= 4+2+1 = 7.
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bitPatt[n_]:=bitPatt[n]=Split[IntegerDigits[n, 2], #2==0&]; Map[Plus@@(Map[FromDigits[#, 2]&, bitPatt[#]])&, Select[Range[300], #==DeleteDuplicates[#]&[bitPatt[#]]&]] (* Peter J. C. Moses, Jan 15 2014 *)
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Sum of parts of the form 10...0 with nonnegative number of zeros in binary representation of c-squarefree numbers (A233564(n) as the corresponding powers of 2.
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