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A338012
a(1)=0; thereafter, a(n) is the smallest number such that the addition and multiplication tables for (a(1),...,a(n)) together contain n^2 different entries (the maximum possible).
6
0, 3, 4, 10, 18, 23, 34, 55, 67, 93, 95, 120, 149, 166, 228, 271, 351, 398, 439, 505, 563, 611, 732, 771, 806, 924, 1052, 1121, 1278, 1412, 1586, 1654, 1875, 2012, 2245, 2341, 2445, 2616, 2819, 2920, 3034, 3322, 3518, 3754, 3918, 4016, 4311, 4649, 4848, 5321
OFFSET
1,2
EXAMPLE
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
KEYWORD
nonn
AUTHOR
Peter Kagey, Oct 06 2020
STATUS
approved