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.

A246205 Permutation of natural numbers: a(1) = 1, a(A014580(n)) = A117968(a(n)), a(A091242(n)) = A117967(1+a(n)), where A117967 and A117968 give positive and negative parts of inverse of balanced ternary enumeration of integers, and A014580 resp. A091242 are the binary coded irreducible resp. reducible polynomials over GF(2).

This page as a plain text file.
%I A246205 #10 Aug 21 2014 00:00:31
%S A246205 1,2,7,5,3,11,23,15,4,12,22,33,6,52,17,13,35,43,25,16,137,45,53,36,58,
%T A246205 155,29,47,462,154,66,135,37,152,426,30,8,156,1273,428,24,148,460,41,
%U A246205 423,1426,71,31,9,427,4283,1410,34,431,75,1274,159,1423,21,3707,194,99,44,10,1412,11115,64,3850,38,1404,103,4281,26,412,3722,49
%N A246205 Permutation of natural numbers: a(1) = 1, a(A014580(n)) = A117968(a(n)), a(A091242(n)) = A117967(1+a(n)), where A117967 and A117968 give positive and negative parts of inverse of balanced ternary enumeration of integers, and A014580 resp. A091242 are the binary coded irreducible resp. reducible polynomials over GF(2).
%H A246205 Antti Karttunen, <a href="/A246205/b246205.txt">Table of n, a(n) for n = 1..10001</a>
%H A246205 <a href="/index/Ge#GF2X">Index entries for sequences operating on GF(2)[X]-polynomials</a>
%H A246205 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A246205 a(1) = 1, and for n > 1, if A091225(n) = 1 [i.e. n is in A014580], a(n) = A117968(a(A091226(n))), otherwise a(n) = A117967(1+a(A091245(n))).
%F A246205 As a composition of related permutations:
%F A246205 a(n) = A246207(A245701(n)).
%F A246205 a(n) = A246209(A246201(n)).
%o A246205 (Scheme, with memoization-macro definec)
%o A246205 (definec (A246205 n) (cond ((= 1 n) n) ((= 1 (A091225 n)) (A117968 (A246205 (A091226 n)))) (else (A117967 (+ 1 (A246205 (A091245 n)))))))
%Y A246205 Inverse: A246206.
%Y A246205 Similar or related entanglement permutations: A246163, A245701, A246201, A246207, A246209.
%Y A246205 Cf. A014580, A091225, A091226, A091242, A091245, A117967, A117968.
%K A246205 nonn
%O A246205 1,2
%A A246205 _Antti Karttunen_, Aug 19 2014