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A167501 Sequence of bits in A167500 (= list of nonzero bits in this sequence, when written in binary). 2

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

%S 1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,

%T 0,1,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,

%U 1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0

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

%C Sequence A167500 starts 1,2,4,7,... = 1,10,100,111,.... when written in binary (A167502). This sequence lists the bits one by one, MSB first: 1,1,0,1,0,0,1,1,1,...; by definition A167500 lists the nonzero terms of this function, and reciprocally this sequence is the characteristic function of A167500.

%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] ))); b

%Y Cf. A167500 (lists nonzero terms in this sequence), A167502.

%K base,nonn

%O 1,1

%A _M. F. Hasler_, Nov 05 2009

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