cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A343271 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).

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%I A343271 #8 Apr 10 2021 10:35:28
%S A343271 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 A343271 31,31,31,31,31,31,32,32,32,33,36,37,38,39,40,41,42,43,46,47,47,47,56,
%U A343271 57,58,59,62,63,63,63,62,63,63,63,63,63,63,63,64,64,64,64
%N A343271 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 A343271 Leading zeros are ignored.
%C A343271 This sequence has similarities with A343049; here we scan the binary representations from left to right, there from right to left.
%H A343271 Rémy Sigrist, <a href="/A343271/b343271.txt">Table of n, a(n) for n = 0..8192</a>
%H A343271 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%F A343271 A070939(a(n)) = A070939(n).
%e A343271 The first terms, in decimal and in binary, are:
%e A343271   n   a(n)  bin(n)  bin(a(n))
%e A343271   --  ----  ------  ---------
%e A343271    0     0       0          0
%e A343271    1     1       1          1
%e A343271    2     2      10         10
%e A343271    3     3      11         11
%e A343271    4     4     100        100
%e A343271    5     5     101        101
%e A343271    6     7     110        111
%e A343271    7     7     111        111
%e A343271    8     8    1000       1000
%e A343271    9     9    1001       1001
%e A343271   10    10    1010       1010
%e A343271   11    11    1011       1011
%e A343271   12    14    1100       1110
%e A343271   13    15    1101       1111
%e A343271   14    15    1110       1111
%e A343271   15    15    1111       1111
%o A343271 (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 A343271 Cf. A070939, A343049.
%K A343271 nonn,base
%O A343271 0,3
%A A343271 _Rémy Sigrist_, Apr 10 2021