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 A356331 #10 Aug 05 2022 15:36:04 %S A356331 0,1,2,3,4,5,6,7,8,17,10,11,12,13,14,15,19,9,18,16,20,21,51,44,24,38, %T A356331 26,32,28,45,46,31,27,33,34,35,36,48,25,39,40,49,53,43,23,29,30,47,37, %U A356331 41,50,22,52,42,54,55,140,133,58,106,115,79,62,113,127,99 %N A356331 Bit-reverse the odd part of the negaFibonacci representation of n: a(n) = A356327(A057889(A215024(n))). %C A356331 This sequence is a self-inverse permutation of the nonnegative integers similar to A343150, A344682, A345201 and A356332. %H A356331 Rémy Sigrist, <a href="/A356331/b356331.txt">Table of n, a(n) for n = 0..6765</a> %H A356331 Rémy Sigrist, <a href="/A356331/a356331.gp.txt">PARI program</a> %H A356331 <a href="/index/Z#Zeckendorf">Index entries for sequences related to Zeckendorf expansion of n</a> %H A356331 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a> %F A356331 a(a(n)) = n. %F A356331 a(n) <= A000045(2*k) iff n <= A000045(2*k). %e A356331 The first terms, alongside the corresponding negaFibonacci representations, are: %e A356331 n a(n) nega(n) nega(a(n)) %e A356331 -- ---- ------- ---------- %e A356331 0 0 0 0 %e A356331 1 1 1 1 %e A356331 2 2 100 100 %e A356331 3 3 101 101 %e A356331 4 4 10010 10010 %e A356331 5 5 10000 10000 %e A356331 6 6 10001 10001 %e A356331 7 7 10100 10100 %e A356331 8 8 10101 10101 %e A356331 9 17 1001010 1010010 %e A356331 10 10 1001000 1001000 %e A356331 11 11 1001001 1001001 %e A356331 12 12 1000010 1000010 %e A356331 13 13 1000000 1000000 %e A356331 14 14 1000001 1000001 %e A356331 15 15 1000100 1000100 %e A356331 16 19 1000101 1010001 %e A356331 17 9 1010010 1001010 %e A356331 18 18 1010000 1010000 %e A356331 19 16 1010001 1000101 %e A356331 20 20 1010100 1010100 %e A356331 21 21 1010101 1010101 %o A356331 (PARI) See Links section. %Y A356331 Cf. A000045, A057889, A215025, A343150, A344682, A345201, A356327, A356332. %K A356331 nonn,base %O A356331 0,3 %A A356331 _Rémy Sigrist_, Aug 04 2022