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A309231
Column 3 of the array at A326662 see Comments.
1
7, 17, 25, 34, 43, 53, 61, 71, 79, 89, 97, 106, 115, 125, 133, 142, 151, 161, 169, 178, 187, 197, 205, 215, 223, 233, 241, 250, 259, 269, 277, 287, 295, 305, 313, 322, 331, 341, 349, 359, 367, 377, 385, 394, 403, 413, 421, 430, 439, 449, 457, 466, 475, 485
OFFSET
1,1
COMMENTS
This is the sequence (c(n)) defined by the complementary equation c(n) = a(2n) + b(2n), with initial value a(1) = 1. See A326662. Conjecture: 9n-c(n) is in {1,2} for all n.
LINKS
MATHEMATICA
mex[list_, start_] := (NestWhile[# + 1 &, start, MemberQ[list, #] &]);
a = b = c = {}; h = 2; 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. A326662.
Sequence in context: A273745 A263264 A072199 * A183897 A300186 A355680
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jul 16 2019
STATUS
approved