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 A298298 Numbers k such that b(k+1) = b(k) + 2, where b = A298296. 2
 10, 12, 14, 16, 18, 20, 22, 24, 27, 31, 34, 38, 41, 45, 48, 52, 55, 59, 62, 66, 69, 73, 76, 80, 82, 85, 89, 91, 93, 96, 100, 102, 105, 109, 111, 113, 116, 120, 122, 125, 129, 131, 133, 136, 140, 142, 145, 149 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE b = A298296 = (3,4,5,6,7,8,9,10,11,12,14,15,17,...), so that b(k+1) = b(k) + 1 for k = 1..9 and b(11) = b(10) + 2. MATHEMATICA mex[list_, start_] := (NestWhile[# + 1 &, start, MemberQ[list, #] &]); a[0] = 1; a[1] = 2; b[0] = 3; b[1] = 4; b[2] = 5; a[n_] := a[0]*b[n] + a[1]*b[n - 1] Table[{a[n], b[n + 1] = mex[Flatten[Map[{a[#], b[#]} &, Range[0, n]]], b[n - 0]]}, {n, 2, 1000}]; u = Table[b[n], {n, 0, 150}]  (* A298296 *) d = Differences[u] Flatten[Position[d, 1]]  (* A298297 *) Flatten[Position[d, 2]]  (* A298298 *) CROSSREFS Cf. A298296, A297297 (complement). Sequence in context: A088381 A163750 A167153 * A247393 A055983 A318700 Adjacent sequences:  A298295 A298296 A298297 * A298299 A298300 A298301 KEYWORD nonn,easy AUTHOR Clark Kimberling, Apr 12 2018 STATUS approved

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Last modified May 17 17:56 EDT 2021. Contains 343986 sequences. (Running on oeis4.)