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A325464
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a(n) is the least number not 2*a(m) or 3*a(m)-2 for any m < n.
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4
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1, 3, 4, 5, 9, 11, 12, 14, 15, 16, 17, 19, 20, 21, 23, 26, 27, 29, 33, 35, 36, 37, 39, 41, 44, 45, 47, 48, 50, 51, 53, 56, 57, 59, 60, 62, 63, 64, 65, 68, 69, 71, 73, 75, 77, 80, 81, 83, 84, 86, 87, 89, 91, 92, 93, 95, 98, 99, 101, 104, 105, 107, 108, 110
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OFFSET
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1,2
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LINKS
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EXAMPLE
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The sequence necessarily starts with 1. The next 2 terms are determined as follows: because a(1) = 1, the number 2 is disallowed, so that a(2) = 3, whence the numbers 6 and 7 are disallowed, and a(3) = 4. See A325417 for a guide to related sequences.
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MATHEMATICA
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a = {1}; Do[AppendTo[a, NestWhile[# + 1 &, Last[a] + 1, Apply[Or,
Map[MemberQ[a, #] &, Select[Flatten[{#/2, (#+2)/3}],
IntegerQ]]] &]], {150}]; a (* A325464 *)
Complement[Range[Last[a]], a] (* A325465 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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