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%I #8 Apr 10 2021 10:35:28
%S 0,1,2,3,4,5,7,7,8,9,10,11,14,15,15,15,16,16,18,19,20,21,23,23,28,29,
%T 31,31,31,31,31,31,32,32,32,33,36,37,38,39,40,41,42,43,46,47,47,47,56,
%U 57,58,59,62,63,63,63,62,63,63,63,63,63,63,63,64,64,64,64
%N From left to right: the k-th binary digit of a(n) is the most frequent digit among the first k binary digits of n (in case of a tie, take the k-th binary digit of n).
%C Leading zeros are ignored.
%C This sequence has similarities with A343049; here we scan the binary representations from left to right, there from right to left.
%H Rémy Sigrist, <a href="/A343271/b343271.txt">Table of n, a(n) for n = 0..8192</a>
%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%F A070939(a(n)) = A070939(n).
%e The first terms, in decimal and in binary, are:
%e n a(n) bin(n) bin(a(n))
%e -- ---- ------ ---------
%e 0 0 0 0
%e 1 1 1 1
%e 2 2 10 10
%e 3 3 11 11
%e 4 4 100 100
%e 5 5 101 101
%e 6 7 110 111
%e 7 7 111 111
%e 8 8 1000 1000
%e 9 9 1001 1001
%e 10 10 1010 1010
%e 11 11 1011 1011
%e 12 14 1100 1110
%e 13 15 1101 1111
%e 14 15 1110 1111
%e 15 15 1111 1111
%o (PARI) a(n, base=2) = { my (d=digits(n, base), f=vector(base), t); for (k=1, #d, f[1+d[k]]++; if (f[1+d[k]]==vecmax(f), t=d[k], d[k]=t)); fromdigits(d, base) }
%Y Cf. A070939, A343049.
%K nonn,base
%O 0,3
%A _Rémy Sigrist_, Apr 10 2021
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