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 A325417 a(n) is the least number not 2*a(m) or 3*a(m)+1 for any m < n. 51
 1, 3, 5, 7, 8, 9, 11, 12, 13, 15, 17, 19, 20, 21, 23, 27, 29, 31, 32, 33, 35, 36, 39, 41, 43, 44, 45, 47, 48, 49, 50, 51, 53, 55, 56, 57, 59, 60, 63, 65, 67, 68, 69, 71, 73, 74, 75, 76, 77, 79, 80, 81, 83, 84, 85, 87, 89, 91, 92, 93, 95, 99, 101, 103, 104 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS In column 1 of the following guide to related sequences, disallowed terms are indicated by the variable x representing a(m) for m < n. Disallowed    Sequence(a)  Complement(c)  Differences(a)  Differences(c) 2x, 3x+1      A325417      A325418        A325444         A325445 3x, 2x+1      A325419      A325420        A325494         A325495 2x+1, 3x+1    A077477      A325422        A325496         A325497 2x, 3x        A036668      A325424        A325498         A325499 [3x/2], 2x    A325425      A325426        A325518         A325519 [3x/2], 2x+1  A325427      A325428        A325520         A325521 [3x/2], 3x    A325429      A325430        A325522         A325523 3x, 4x        A325431      A325432        A325525         A325526 2x, 3x-1      A325462      A325463        A325526         A325527 2x, 3x-2      A325464      A325465        A325528         A325529 2x-1, 3x-1    A325440      A325441        A325530         A325531 2x-1, 3x      A325442      A325443        A325532         A325533 2x+1, 3x+2    A325539      A325540        A325541         A325542 LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 EXAMPLE The sequence necessarily starts with 1.  The next 2 terms are determined as follows:  because a(1) = 1, the numbers 2 and 4 are disallowed, so that a(2) = 3, whence the numbers 6 and 10 are disallowed, so that a(3) = 5. MATHEMATICA a = {1}; Do[AppendTo[a, NestWhile[# + 1 &, Last[a] + 1, Apply[Or, Map[MemberQ[a, #] &, Select[Flatten[{#/2, (# - 1)/3}], IntegerQ]]] &]], {150}]; a     (* A325417 *) Complement[Range[Last[a]], a]  (* A325418 *) (* Peter J. C. Moses, Apr 23 2019 *) CROSSREFS Cf. A325418, A325444. Sequence in context: A288525 A134407 A218979 * A183868 A346232 A299542 Adjacent sequences:  A325414 A325415 A325416 * A325418 A325419 A325420 KEYWORD nonn,easy AUTHOR Clark Kimberling, Apr 24 2019 STATUS approved

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Last modified January 26 21:14 EST 2022. Contains 350600 sequences. (Running on oeis4.)