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A326663
Column 3 of the array at A309157; see Comments.
2
5, 12, 20, 26, 33, 41, 47, 54, 61, 68, 75, 83, 89, 96, 104, 110, 117, 124, 131, 138, 146, 152, 159, 167, 173, 180, 188, 194, 201, 209, 215, 222, 230, 236, 243, 250, 257, 264, 272, 278, 285, 293, 299, 306, 313, 320, 327, 335, 341, 348, 356, 362, 369, 377, 383
OFFSET
1,1
COMMENTS
This is the sequence (c(n)) defined by the complementary equation c(n) = a(n) + b(2n), with initial value a(1) = 1. See A309157. Conjecture: 7n-c(n) is in {1,2} for all n.
LINKS
MATHEMATICA
mex[list_, start_] := (NestWhile[# + 1 &, start, MemberQ[list, #] &]);
a = b = c = {}; h = 1; k = 2;
Do[Do[AppendTo[a,
mex[Flatten[{a, b, c}], Max[Last[a /. {} -> {0}], 1]]];
AppendTo[b, mex[Flatten[{a, b, c}], Max[Last[b /. {} -> {0}], 1]]], {k}];
AppendTo[c, a[[h Length[a]/k]] + Last[b]], {150}]; c
(* Peter J. C. Moses, Jul 04 2019 *)
CROSSREFS
Cf. A309157.
Sequence in context: A139692 A099192 A047077 * A086570 A366101 A270333
KEYWORD
nonn,tabl,easy
AUTHOR
Clark Kimberling, Jul 16 2019
STATUS
approved