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.

A245453 Self-inverse and multiplicative permutation of natural numbers, A235041-conjugate of balanced bit-reverse: a(n) = A235042(A057889(A235041(n))).

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%I A245453 #10 Nov 18 2016 23:21:22
%S A245453 0,1,2,3,4,19,6,7,8,9,38,13,12,11,14,57,16,59,18,5,76,21,26,53,24,361,
%T A245453 22,27,28,109,114,31,32,39,118,133,36,41,10,33,152,37,42,103,52,171,
%U A245453 106,61,48,49,722,177,44,23,54,247,56,15,218,17,228,47,62,63,64
%N A245453 Self-inverse and multiplicative permutation of natural numbers, A235041-conjugate of balanced bit-reverse: a(n) = A235042(A057889(A235041(n))).
%C A245453 a(n) has the same prime signature as n: The permutation maps primes to primes, squares to squares, cubes to cubes, and so on. Permutation A234748 shares the same property.
%H A245453 Antti Karttunen, <a href="/A245453/b245453.txt">Table of n, a(n) for n = 0..624</a>
%H A245453 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A245453 a(n) = A235042(A057889(A235041(n))).
%e A245453 Example of multiplicativity:
%e A245453 a(5)=19, a(11)=13, a(55) = a(5*11) = a(5) * a(11) = 19*13 = 247.
%o A245453 (Scheme) (define (A245453 n) (A235042 (A057889 (A235041 n))))
%Y A245453 Cf. A057889, A235041, A235042, A234748, A245450, A235027.
%K A245453 nonn,mult
%O A245453 0,3
%A A245453 _Antti Karttunen_, Aug 07 2014