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A333309
Numbers that are not the sum of two distinct terms of A003622.
2
1, 2, 3, 4, 6, 8, 9, 11, 12, 14, 17, 19, 22, 24, 27, 30, 32, 35, 38, 40, 43, 48, 51, 53, 56, 61, 64, 66, 69, 74, 77, 82, 85, 87, 90, 95, 98, 103, 106, 108, 111, 116, 119, 124, 129, 132, 137, 140, 142, 145, 150, 153, 158, 163, 166, 171, 174, 176, 179, 184
OFFSET
1,2
COMMENTS
Conjecture: the difference sequences of this sequence and its complement consist exclusively of Fibonacci numbers (A000045).
EXAMPLE
(See A333308.)
MATHEMATICA
w[n_] := Floor[n*GoldenRatio] + n - 1; (* A003622 *)
s[n_] := Table[w[n] + w[k], {k, 1, n - 1}];
t = Table[s[n], {n, 1, 200}]; u = Union[Flatten[t]] (* A333308 *)
v = Complement[Range[Max[u]], u] (* A333309 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 01 2020
STATUS
approved