cp's OEIS Frontend

A363932 Square array of distinct positive integers A(n, k), n, k > 0, read and filled the greedy way by antidiagonals downwards such that the concatenations of the terms of two distinct rows are always equal.

%I A363932 #5 Jul 02 2023 09:10:11
%S A363932 1,2,12,3,31,123,11,13,113,1231,32,21,211,132,12311,111,112,121,1112,
%T A363932 321,123113,212,122,22,1221,1121,2111,1231132,213,131,1311,311,221,
%U A363932 2122,11121,12311321,114,14,4,41,3114,13114,2213,11212,123113211,15,151,1511,5,15111,151111,1141,2131,1212,1231132111
%N A363932 Square array of distinct positive integers A(n, k), n, k > 0, read and filled the greedy way by antidiagonals downwards such that the concatenations of the terms of two distinct rows are always equal.
%C A363932 Leading zeros are ignored.
%C A363932 Will every positive integer appear?
%H A363932 Rémy Sigrist, <a href="/A363932/a363932.txt">C++ program</a>
%e A363932 Array A(n, k) begins:
%e A363932   n\k|        1      2     3      4       5      6       7       8
%e A363932   ---+------------------------------------------------------------
%e A363932     1|        1      2     3     11      32    111     212     213
%e A363932     2|       12     31    13     21     112    122     131      14
%e A363932     3|      123    113   211    121      22   1311       4    1511
%e A363932     4|     1231    132  1112   1221     311     41       5   11113
%e A363932     5|    12311    321  1121    221    3114  15111    1312    1122
%e A363932     6|   123113   2111  2122  13114  151111    312   11221   13111
%e A363932     7|  1231132  11121  2213   1141      51  11131   21122  113111
%e A363932     8| 12311321  11212  2131    141     511  11312  112211  311111
%e A363932 .
%e A363932 Array A(n, k), with digits vertically aligned, begins:
%e A363932     +-+-+-+---+---+-----+-----+-----+-----+---+-------+-------+---------+
%e A363932     |1|2|3|1 1|3 2|1 1 1|2 1 2|2 1 3|1 1 4|1 5|1 1 1 1|3 1 2 1|1 2 2 1 1|
%e A363932     +-+-+-+-+-+-+-+-+---+-+---+-+---+-+---+---+-+-----+-+-----+-+-------+
%e A363932     |1 2|3 1|1 3|2 1|1 1 2|1 2 2|1 3 1|1 4|1 5 1|1 1 1 3|1 2 1 1|2 2 1 1|
%e A363932     +---+-+-+---+---+-+---+-+---+-----+-+-+-----+-+-----+-+-----+-+-----+
%e A363932     |1 2 3|1 1 3|2 1 1|1 2 1|2 2|1 3 1 1|4|1 5 1 1|1 1 3 1|2 1 1 2|
%e A363932     +-----+-+---+-+---+---+-+---+-+-----+-+-+-+---+-----+-+-------+
%e A363932     |1 2 3 1|1 3 2|1 1 1 2|1 2 2 1|3 1 1|4 1|5|1 1 1 1 3|1 2 1 1 2|
%e A363932     +-------+-+---+-+-----+-+-----+-----+-+-+-+-----+---+---+-----+-+
%e A363932     |1 2 3 1 1|3 2 1|1 1 2 1|2 2 1|3 1 1 4|1 5 1 1 1|1 3 1 2|1 1 2 2|
%e A363932     +---------+-+---+---+---+---+-+-------+---------+-+-----+-------+-+
%e A363932     |1 2 3 1 1 3|2 1 1 1|2 1 2 2|1 3 1 1 4|1 5 1 1 1 1|3 1 2|1 1 2 2 1|
%e A363932     +-----------+-+-----+---+---+---+-----+-+---+-----+---+-+-------+-+
%e A363932     |1 2 3 1 1 3 2|1 1 1 2 1|2 2 1 3|1 1 4 1|5 1|1 1 1 3 1|2 1 1 2 2|
%e A363932     +-------------+-+-------+-+-----+-+-----+---+-+-------+-+-------+---+
%e A363932     |1 2 3 1 1 3 2 1|1 1 2 1 2|2 1 3 1|1 4 1|5 1 1|1 1 3 1 2|1 1 2 2 1 1|
%e A363932     +---------------+---------+-------+-----+-----+---------+-----------+
%o A363932 (C++) See Links section.
%Y A363932 Cf. A329127, A363931.
%K A363932 nonn,base,tabl
%O A363932 1,2
%A A363932 _Rémy Sigrist_, Jun 28 2023