%I #19 Jul 11 2015 16:13:45
%S 2,6,7,9,11,12,14,17,19,20,21,22,25,26,27,28,29,30,31,33,34,37,39,40,
%T 41,42,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,65,67,
%U 69,71,72,73,74,77,78,80,81,82,84,86,87,89,90,92,93,94
%N Numbers whose binary representation is a substring of the concatenation of the binary representation of all smaller nonnegative integers not listed earlier, taken in decreasing order.
%C Also, nonnegative integers which do not occur in A118250.
%C Up to the reversed (decreasing) order of concatenation, a binary analog of Hannah Rollman's numbers A048992.
%e The binary representation of 2="10"[2] is a substring of the concatenation of 1 and 0, therefore a(1)=2. This term a(1)=2="10" will henceforth be excluded from the concatenations considered in the sequel.
%e The binary representations of 3, 4 and 5 are not a substrings of concat("1", "0") resp. concat("11", "1", "0") resp. concat("100", "11", "1", "0"). (Note that 2="10" is not among the concatenated numbers.)
%e But 6="110"[2] is again a substring of concat(5="101", 4="100", 3="11", "1", "0"), therefore a(2)=6. In the sequel, a(2)=6="110" will now also be always excluded from the concatenations, as is a(1)=2.
%Y Analog of A128291 for the "with reversal" variant A118250 of A118248.
%Y Cf. A048991, A048992.
%K nonn,base
%O 1,1
%A _M. F. Hasler_, Dec 29 2012
|