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.

A306993 Lexicographically earliest sequence of distinct positive terms such that for any n > 0, n * a(n) is digitally balanced.

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%I A306993 #13 Mar 21 2019 13:26:22
%S A306993 2,1,3,11,7,25,5,23,15,17,4,13,12,43,9,47,10,31,29,37,34,26,8,39,6,22,
%T A306993 30,81,19,27,18,95,63,21,61,67,20,57,24,70,56,51,14,55,49,54,16,53,45,
%U A306993 58,42,65,48,46,44,41,38,50,62,149,35,59,33,191,52,127,36
%N A306993 Lexicographically earliest sequence of distinct positive terms such that for any n > 0, n * a(n) is digitally balanced.
%C A306993 Digitally balanced numbers correspond to A031443.
%C A306993 This sequence has similarities with A300868.
%C A306993 This sequence is a self-inverse permutation of the natural numbers.
%H A306993 Rémy Sigrist, <a href="/A306993/b306993.txt">Table of n, a(n) for n = 1..10000</a>
%H A306993 Rémy Sigrist, <a href="/A306993/a306993.gp.txt">PARI program for A306993</a>
%H A306993 Rémy Sigrist, <a href="/A306993/a306993.png">Colored scatterplot of the first 10000 terms</a> (where the color is function of A000120(n*a(n)))
%H A306993 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%e A306993 The first terms, alongside the binary representation of n * a(n), are:
%e A306993   n   a(n)  bin(n * a(n))
%e A306993   --  ----  --------------
%e A306993    1     2              10
%e A306993    2     1              10
%e A306993    3     3            1001
%e A306993    4    11          101100
%e A306993    5     7          100011
%e A306993    6    25        10010110
%e A306993    7     5          100011
%e A306993    8    23        10111000
%e A306993    9    15        10000111
%e A306993   10    17        10101010
%e A306993   11     4          101100
%e A306993   12    13        10011100
%e A306993   13    12        10011100
%e A306993   14    43      1001011010
%e A306993   15     9        10000111
%e A306993   16    47      1011110000
%o A306993 (PARI) See Links section.
%Y A306993 Cf. A000120, A031443, A300868.
%K A306993 nonn,look,base
%O A306993 1,1
%A A306993 _Rémy Sigrist_, Mar 18 2019