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.

A341458 Unique square array T(n, k) read by antidiagonals, n, k > 0, such that A000069(T(n, k)) = A341288(A000069(n), A000069(k)).

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%I A341458 #11 Feb 14 2021 13:04:31
%S A341458 1,2,2,3,1,3,4,5,5,4,5,6,1,6,5,6,3,7,7,3,6,7,4,2,1,2,4,7,8,8,8,8,8,8,
%T A341458 8,8,9,7,4,2,1,2,4,7,9,10,17,6,3,7,7,3,6,17,10,11,18,33,5,6,1,6,5,33,
%U A341458 18,11,12,22,39,57,4,5,5,4,57,39,22,12
%N A341458 Unique square array T(n, k) read by antidiagonals, n, k > 0, such that A000069(T(n, k)) = A341288(A000069(n), A000069(k)).
%C A341458 The positive integers equipped with T form a group.
%C A341458 Every row (and column) is a self-inverse permutation of the positive integers.
%H A341458 Rémy Sigrist, <a href="/A341458/b341458.txt">Table of n, a(n) for n = 1..8385</a>
%H A341458 Rémy Sigrist, <a href="/A341288/a341288_1.png">Colored representation of the table for 1 <= n, k <= 128</a>
%H A341458 Rémy Sigrist, <a href="/A341458/a341458.gp.txt">PARI program for A341458</a>
%F A341458 T(n, k) = T(k, n).
%F A341458 T(n, 1) = n.
%F A341458 T(n, n) = 1.
%e A341458 Array T(n, k) begins:
%e A341458   n\k|   1   2   3   4   5   6    7    8    9   10   11   12   13   14   15   16
%e A341458   ---+--------------------------------------------------------------------------
%e A341458     1|   1   2   3   4   5   6    7    8    9   10   11   12   13   14   15   16
%e A341458     2|   2   1   5   6   3   4    8    7   17   18   22   21   20   19   23   24
%e A341458     3|   3   5   1   7   2   8    4    6   33   39   35   37   36   38   34   40
%e A341458     4|   4   6   7   1   8   2    3    5   57   63   62   60   61   59   58   64
%e A341458     5|   5   3   2   8   1   7    6    4   65   71   70   68   69   67   66   72
%e A341458     6|   6   4   8   2   7   1    5    3   89   95   91   93   92   94   90   96
%e A341458     7|   7   8   4   3   6   5    1    2  105  106  110  109  108  107  111  112
%e A341458     8|   8   7   6   5   4   3    2    1  113  114  115  116  117  118  119  120
%e A341458     9|   9  17  33  57  65  89  105  113    1   25   41   49   73   81   97  121
%e A341458    10|  10  18  39  63  71  95  106  114   25    1   56   48   88   80  121   97
%e A341458    11|  11  22  35  62  70  91  110  115   41   56    1   32  104  121   80   81
%e A341458    12|  12  21  37  60  68  93  109  116   49   48   32    1  121  104   88   73
%e A341458    13|  13  20  36  61  69  92  108  117   73   88  104  121    1   32   48   49
%e A341458    14|  14  19  38  59  67  94  107  118   81   80  121  104   32    1   56   41
%e A341458    15|  15  23  34  58  66  90  111  119   97  121   80   88   48   56    1   25
%e A341458    16|  16  24  40  64  72  96  112  120  121   97   81   73   49   41   25    1
%o A341458 (PARI) See Links section.
%Y A341458 Cf. A000069, A341288.
%Y A341458 See A341487 and A341489 for the second and third rows, respectively.
%K A341458 nonn,tabl,base
%O A341458 1,2
%A A341458 _Rémy Sigrist_, Feb 12 2021