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A190896 Least positive integer whose binary representation does not occur in the concatenation of the binary representations of all earlier terms. 4

%I #8 Dec 30 2012 07:45:59

%S 1,2,3,4,8,10,13,15,16,19,20,32,35,37,38,40,49,54,61,64,67,68,73,74,

%T 79,80,85,87,93,103,117,121,127,128,131,134,136,139,141,143,148,151,

%U 152,155,156,158,160,165,166,170,172,174,182,193,197,217,218,239,241,251,256,259,262,264,267,268

%N Least positive integer whose binary representation does not occur in the concatenation of the binary representations of all earlier terms.

%C See the variant A118250 for comments and examples.

%o (PARI) A190896(n,show=0,a=1)={my(c=[0],S=[],L); for(k=1,n, show && print1(a","); while( setsearch(S,binary(a++)),); c=concat(c,binary(a)); S=[]; for(i=0,#c-L=#binary(a), c[i+1] & for(j=i+L,min(i+L+1,#c), S=setunion(S,Set(t=[vecextract(c,2^j-2^i)])))));a}

%Y Cf. A190897 (concatenation of binary representations), A118248 (the same with nonnegative integers), A118250, A118252 (variants where binary representations are reversed).

%K easy,nonn,base

%O 0,2

%A _M. F. Hasler_, Dec 29 2012

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