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A333309 Numbers that are not the sum of two distinct terms of A003622. 2

%I #4 Apr 09 2020 23:52:58

%S 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,

%T 61,64,66,69,74,77,82,85,87,90,95,98,103,106,108,111,116,119,124,129,

%U 132,137,140,142,145,150,153,158,163,166,171,174,176,179,184

%N Numbers that are not the sum of two distinct terms of A003622.

%C Conjecture: the difference sequences of this sequence and its complement consist exclusively of Fibonacci numbers (A000045).

%e (See A333308.)

%t w[n_] := Floor[n*GoldenRatio] + n - 1; (* A003622 *)

%t s[n_] := Table[w[n] + w[k], {k, 1, n - 1}];

%t t = Table[s[n], {n, 1, 200}]; u = Union[Flatten[t]] (* A333308 *)

%t v = Complement[Range[Max[u]], u] (* A333309 *)

%Y Cf. A000045, A003622, A035513, A333308.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Apr 01 2020

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Last modified April 25 08:20 EDT 2024. Contains 371964 sequences. (Running on oeis4.)