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Sequence A167500 (= list of nonzero bits in this sequence), written in binary.
6

%I #3 Jul 14 2012 11:32:32

%S 1,10,100,111,1000,1001,1010,1110,10001,10010,10100,10110,10111,11000,

%T 11010,11110,11111,100010,100100,100110,101001,101011,101100,101110,

%U 110000,110001,110010,110011,110100,111000,111001,111011,111101,111110

%N Sequence A167500 (= list of nonzero bits in this sequence), written in binary.

%F A167502 = A007088 o A167500

%e Sequence A167500 starts 1,2,4,7,... = 1,10,100,111,.... when written in binary.

%o (PARI) a=b=[]; for(n=1,30, #b >= n & for( i=a[n-1]+1,#b, b[i] & (a=concat(a,i)) & break); #a<n & a=concat(a,#b+1); b=concat(b,binary( a[n] ))); apply(t->subst(Pol(binary(t)),x,10),a)

%Y Cf. A167500 (this sequence written in decimal), A167501 (the digits of this sequence).

%K base,nonn

%O 1,2

%A _M. F. Hasler_, Nov 05 2009