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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..60.

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

Cf. A000045, A003622, A035513, A333308.

Sequence in context: A186541 A207432 A020900 * A282697 A002479 A010458

Adjacent sequences:  A333306 A333307 A333308 * A333310 A333311 A333312

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 01 2020

STATUS

approved

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Last modified May 7 17:52 EDT 2021. Contains 343652 sequences. (Running on oeis4.)