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.

A089648 Numbers whose numbers of zeros and ones in binary representation differ at most by 1.

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%I A089648 #18 Feb 16 2025 08:32:51
%S A089648 0,1,2,4,5,6,9,10,12,17,18,19,20,21,22,24,25,26,28,35,37,38,41,42,44,
%T A089648 49,50,52,56,67,69,70,71,73,74,75,76,77,78,81,82,83,84,85,86,88,89,90,
%U A089648 92,97,98,99,100,101,102,104,105,106,108,112,113,114,116,120,135,139
%N A089648 Numbers whose numbers of zeros and ones in binary representation differ at most by 1.
%C A089648 A031443 is a subsequence; abs(A037861(a(n))) <= 1.
%H A089648 Reinhard Zumkeller, <a href="/A089648/b089648.txt">Table of n, a(n) for n = 1..10000</a>
%H A089648 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DigitCount.html">Digit Count</a>
%H A089648 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%t A089648 Select[Range[0,7! ],Abs[DigitCount[ #,2,0]-DigitCount[ #,2,1]]<2 &] (* _Vladimir Joseph Stephan Orlovsky_, Feb 16 2010 *)
%o A089648 (Haskell)
%o A089648 a089648 n = a089648_list !! (n-1)
%o A089648 a089648_list = filter ((<= 1) . abs . a037861) [0..]
%o A089648 -- _Reinhard Zumkeller_, Mar 31 2015
%Y A089648 Cf. A023416, A000120.
%Y A089648 Cf. A037861, union of A031443, A031444 and A031448.
%K A089648 nonn,base
%O A089648 1,3
%A A089648 _Reinhard Zumkeller_, Jan 02 2004