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.

A171781 Numbers for which the second bit of the binary expansion is equal to the last bit.

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%I A171781 #7 Sep 01 2020 08:42:14
%S A171781 2,3,4,7,8,10,13,15,16,18,20,22,25,27,29,31,32,34,36,38,40,42,44,46,
%T A171781 49,51,53,55,57,59,61,63,64,66,68,70,72,74,76,78,80,82,84,86,88,90,92,
%U A171781 94,97,99,101,103,105,107,109,111,113,115,117,119,121,123,125
%N A171781 Numbers for which the second bit of the binary expansion is equal to the last bit.
%C A171781 Note that A005843 INTERSECT A171781 = A171757. This is an example of two sequences which both have a limiting density, but whose intersection does not.
%H A171781 Amiram Eldar, <a href="/A171781/b171781.txt">Table of n, a(n) for n = 1..10000</a>
%e A171781 10 is a term since its binary representation is 1010 and both its second and last bits are 0. - _Amiram Eldar_, Sep 01 2020
%t A171781 Select[Range[2, 125], (d = IntegerDigits[#, 2])[[2]] == d[[-1]] &] (* _Amiram Eldar_, Sep 01 2020 *)
%Y A171781 Cf. A005843, A171782, A171757, A171763.
%K A171781 nonn,base
%O A171781 1,1
%A A171781 _N. J. A. Sloane_, Oct 12 2010