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A338013 The list of positive integers that do not appear in the addition or multiplication tables of A338012.

%I A338013 #16 Oct 09 2020 03:51:38
%S A338013 1,2,5,11,15,17,19,24,25,29,31,32,35,39,42,43,45,47,48,49,50,51,53,56,
%T A338013 60,61,62,63,64,66,74,75,76,79,80,81,82,83,84,86,87,88,91,94,104,106,
%U A338013 107,108,109,112,114,115,117,119,121,125,126,128,131,132,133
%N A338013 The list of positive integers that do not appear in the addition or multiplication tables of A338012.
%H A338013 Peter Kagey, <a href="/A338013/b338013.txt">Table of n, a(n) for n = 1..10000</a>
%H A338013 Peter Kagey, <a href="/A338013/a338013.txt">Haskell Program</a>.
%e A338013 The first four terms of this sequence are 1, 2, 5, and 11 because these are the four smallest positive integers that do not appear in the addition and multiplication tables of A338012.
%e A338013 Addition table begins:
%e A338013    + |  0  3  4 10 18 23  34  55  67
%e A338013 -----+-------------------------------
%e A338013    0 |  0
%e A338013    3 |  3  6
%e A338013    4 |  4  7  8
%e A338013   10 | 10 13 14 20
%e A338013   18 | 18 21 22 28 36
%e A338013   23 | 23 26 27 33 41 46
%e A338013   34 | 34 37 38 44 52 57  68
%e A338013   55 | 55 58 59 65 73 78  89 110
%e A338013   67 | 67 70 71 77 85 90 101 122 134
%e A338013 Multiplication table begins:
%e A338013    * | 0   3   4  10   18   23   34   55   67
%e A338013 -----+---------------------------------------
%e A338013    0 | 0
%e A338013    3 | 0   9
%e A338013    4 | 0  12  16
%e A338013   10 | 0  30  40 100
%e A338013   18 | 0  54  72 180  324
%e A338013   23 | 0  69  92 230  414  529
%e A338013   34 | 0 102 136 340  612  782 1156
%e A338013   55 | 0 165 220 550  990 1265 1870 3025
%e A338013   67 | 0 201 268 670 1206 1541 2278 3685 4489
%Y A338013 Cf. A338012.
%Y A338013 Cf. A337657, A337658, A337947.
%K A338013 nonn
%O A338013 1,2
%A A338013 _Peter Kagey_, Oct 06 2020