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.
%I A249811 #23 Nov 15 2014 16:49:04
%S A249811 1,2,3,4,5,8,7,6,9,14,11,24,13,20,15,10,17,26,19,34,21,32,23,48,25,38,
%T A249811 27,54,29,44,31,12,33,50,35,64,37,56,39,76,41,62,43,84,45,68,47,120,
%U A249811 49,74,51,94,53,80,55,90,57,86,59,114,61,92,63,16,65,98,67,124,69,104,71,118,73,110,75,144,77,116,79,142,81
%N A249811 Permutation of natural numbers: a(n) = A249741(A001511(n), A003602(n)).
%C A249811 In the essence, a(n) tells which number in square array A249741 (the sieve of Eratosthenes minus 1) is at the same position where n is in array A135764, which is formed from odd numbers whose binary expansions are shifted successively leftwards on the successive rows. As the topmost row in both arrays is A005408 (odd numbers), they are fixed, i.e., a(2n+1) = 2n+1 for all n.
%C A249811 Equally: a(n) tells which number in array A114881 is at the same position where n is in the array A054582, as they are the transposes of above two arrays.
%H A249811 Antti Karttunen, <a href="/A249811/b249811.txt">Table of n, a(n) for n = 1..8191</a>
%H A249811 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A249811 In the following formulas, A083221 and A249741 are interpreted as bivariate functions:
%F A249811 a(n) = A083221(A001511(n),A003602(n)) - 1 = A249741(A001511(n),A003602(n)).
%F A249811 As a composition of related permutations:
%F A249811 a(n) = A114881(A209268(n)).
%F A249811 a(n) = A249741(A249725(n)).
%F A249811 a(n) = A249815(A246676(n)).
%F A249811 Other identities. For all n >= 1 the following holds:
%F A249811 a(A000079(n-1)) = A006093(n).
%o A249811 (Scheme) (define (A249811 n) (+ -1 (A083221bi (A001511 n) (A003602 n))))
%o A249811 ;; Code for A083221bi given in A083221
%Y A249811 Inverse: A249812.
%Y A249811 Cf. A000079, A000265, A001511, A003602, A005408, A006093, A007814, A054582, A083140, A083221, A249741.
%Y A249811 Similar or related permutations: A249814 ("deep variant"), A246676, A249815, A114881, A209268, A249725, A249741.
%Y A249811 Differs from A246676 for the first time at n=14, where a(14)=20, while
%Y A249811 A246676(14)=26.
%K A249811 nonn
%O A249811 1,2
%A A249811 _Antti Karttunen_, Nov 06 2014