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.

A366303 Square array A(n, k), n, k > 0, read and filled by upwards antidiagonals the greedy way with distinct positive integers such that any two distinct terms in the same row or column are coprime.

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%I A366303 #7 Oct 08 2023 09:00:42
%S A366303 1,2,3,5,7,4,9,8,11,13,17,19,21,15,23,29,25,31,37,41,35,43,47,53,14,
%T A366303 59,61,67,49,71,65,73,55,79,83,89,97,101,103,107,6,109,113,127,121,
%U A366303 131,137,139,149,119,143,151,157,163,167,169,173,179,181,191,12,133,193,197,199,211
%N A366303 Square array A(n, k), n, k > 0, read and filled by upwards antidiagonals the greedy way with distinct positive integers such that any two distinct terms in the same row or column are coprime.
%C A366303 This sequence is a variant of A366030, with one less constraint.
%C A366303 All the prime numbers appear in the sequence, in ascending order.
%C A366303 For any prime number p, the first multiple of p in the sequence is p.
%C A366303 Will every positive integer appear in the sequence?
%H A366303 Rémy Sigrist, <a href="/A366303/a366303.png">Colored representation of the array for n, k <= 881</a> (grayish pixels correspond to prime numbers)
%H A366303 Rémy Sigrist, <a href="/A366303/a366303.gp.txt">PARI program</a>
%e A366303 Array A(n, k) begins:
%e A366303   n\k |   1    2    3    4    5    6    7    8    9   10
%e A366303   ----+-------------------------------------------------
%e A366303     1 |   1    3    4   13   23   35   67   89  121  167
%e A366303     2 |   2    7   11   15   41   61   83  127  163  199
%e A366303     3 |   5    8   21   37   59   79  113  157  197  247
%e A366303     4 |   9   19   31   14   55  109  151  193  221  307
%e A366303     5 |  17   25   53   73    6  143  133  241  293  353
%e A366303     6 |  29   47   65  107  119   12  239  283  349  401
%e A366303     7 |  43   71  103  149  191  233   10   33  161  463
%e A366303     8 |  49  101  139  181  229  281   27   16   95  451
%e A366303     9 |  97  137  179  227  277  323  341   91   18  115
%e A366303    10 | 131  173  223  253  347  397  461   85  613   24
%o A366303 (PARI) See Links section.
%Y A366303 Cf. A336349, A366030, A366304.
%K A366303 nonn,tabl
%O A366303 1,2
%A A366303 _Rémy Sigrist_, Oct 06 2023