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A337657
Let M_k denote the addition table for the first k terms of A337656. M_k contains exactly k*(k+1)/2 distinct numbers, and these numbers are a subset of the entries in M_{k+1}. The present sequence consists of the numbers that never appear in any M_k.
10
5, 9, 11, 16, 17, 18, 22, 25, 26, 28, 29, 34, 35, 36, 38, 39, 41, 43, 46, 48, 49, 52, 53, 54, 55, 57, 58, 59, 61, 62, 63, 67, 69, 70, 71, 73, 75, 76, 78, 79, 80, 81, 82, 83, 84, 86, 87, 89, 90, 93, 96, 97, 99, 100, 101, 102, 104, 105, 106, 112, 113, 115, 116, 117, 118, 120, 124, 126, 128
OFFSET
1,1
COMMENTS
Note that if A337656(k+1) = t, all entries in M_{k+1} that are not entries in M_k are >= t.
LINKS
EXAMPLE
The addition table, M_9:
+ | 0 1 3 7 12 20 30 44 65
-----+-----------------------------
0 | 0
1 | 1 2
3 | 3 4 6
7 | 7 8 10 14
12 | 12 13 15 19 24
20 | 20 21 23 27 32 40
30 | 30 31 33 37 42 50 60
44 | 44 45 47 51 56 64 74 88
65 | 65 66 68 72 77 85 95 109 130
PROG
(C++) See Links section.
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Oct 01 2020
STATUS
approved