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

1, 2, 5, 11, 15, 17, 19, 24, 25, 29, 31, 32, 35, 39, 42, 43, 45, 47, 48, 49, 50, 51, 53, 56, 60, 61, 62, 63, 64, 66, 74, 75, 76, 79, 80, 81, 82, 83, 84, 86, 87, 88, 91, 94, 104, 106, 107, 108, 109, 112, 114, 115, 117, 119, 121, 125, 126, 128, 131, 132, 133

Offset

1,2

Links

Peter Kagey, Table of n, a(n) for n = 1..10000

Peter Kagey, Haskell Program.

Example

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.
Addition table begins:
   + |  0  3  4 10 18 23  34  55  67
-----+-------------------------------
   0 |  0
   3 |  3  6
   4 |  4  7  8
  10 | 10 13 14 20
  18 | 18 21 22 28 36
  23 | 23 26 27 33 41 46
  34 | 34 37 38 44 52 57  68
  55 | 55 58 59 65 73 78  89 110
  67 | 67 70 71 77 85 90 101 122 134
Multiplication table begins:
   * | 0   3   4  10   18   23   34   55   67
-----+---------------------------------------
   0 | 0
   3 | 0   9
   4 | 0  12  16
  10 | 0  30  40 100
  18 | 0  54  72 180  324
  23 | 0  69  92 230  414  529
  34 | 0 102 136 340  612  782 1156
  55 | 0 165 220 550  990 1265 1870 3025
  67 | 0 201 268 670 1206 1541 2278 3685 4489

Crossrefs

Cf. A338012.

Cf. A337657, A337658, A337947.

Sequence in context: A003420 A356426 A206602 * A336190 A238159 A080156

Adjacent sequences: A338010 A338011 A338012 * A338014 A338015 A338016

Keyword

nonn

Author

Peter Kagey, Oct 06 2020

Status

approved