%I #14 Jul 18 2022 19:33:01
%S 0,1,2,4,6,9,12,15,18,22,26,30,34,38,42,46,50,55,60,65,70,75,80,85,90,
%T 95,100,105,110,115,120,125,130,136,142,148,154,160,166,172,178,184,
%U 190,196,202,208,214,220,226,232,238,244,250,256,262,268,274,280,286,292
%N Position where binary expansion of n starts in the binary Champernowne sequence A030190.
%e A030190 begins as follows (the bits are indexed starting at 0):
%e 0,
%e 1,
%e 1, 0,
%e 1, 1,
%e 1, 0, 0,
%e 1, 0, 1,
%e 1, 1, 0,
%e 1, 1, 1,
%e 1, 0, 0, 0,
%e 1, 0, 0, 1,
%e 1, 0, 1, 0,
%e 1, 0, 1, 1,
%e 1, 1, 0, 0,
%e 1, 1, 0, 1,
%e 1, 1, 1, 0,
%e 1, 1, 1, 1,
%e 1, 0, 0, 0, 0,
%e 1, 0, 0, 0, 1,
%e ...
%e 4 = 1,0,0 begins at the 6th bit, so a(4)=6; 5 = 1,0,1 begins at the 9th bit, so a(5)=9.
%Y Cf. A030190, A030302, A296364.
%Y This is A083652 prefixed by an initial 0.
%Y A296354 is closely related.
%Y Essentially partial sums of A070939.
%K nonn,base
%O 0,3
%A _N. J. A. Sloane_, Dec 16 2017