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 A005242 A self-generating sequence. (Formerly M0971) 3
 1, 2, 4, 5, 8, 10, 12, 14, 15, 16, 19, 20, 21, 24, 25, 27, 28, 32, 33, 34, 37, 38, 40, 42, 43, 44, 46, 47, 48, 51, 53, 54, 56, 57, 58, 59, 61, 62, 63, 64, 66, 68, 69, 72, 73, 74, 77, 79, 81, 83, 84, 86, 88, 89, 91, 92, 94, 96, 97, 98, 100 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Presumably this is the lexicographically earliest sequence of distinct positive numbers with the property that sums of two or three consecutive earlier terms are excluded. - N. J. A. Sloane, Jan 07 2021 REFERENCES R. K. Guy, Unsolved Problems in Number Theory, E30. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 Eric Weisstein's World of Mathematics, Prime Number of Measurement. PROG (Haskell) import Data.List ((\\)) a005242 n = a005242_list !! (n-1) a005242_list = f [1..] 0 0 where    f (x:xs) y z = x : f (xs \\ [x + y, x + y + z]) x y -- Reinhard Zumkeller, May 23 2013 CROSSREFS Cf. A002048, A033627. Sequence in context: A188972 A047612 A123886 * A323976 A188975 A115392 Adjacent sequences:  A005239 A005240 A005241 * A005243 A005244 A005245 KEYWORD nonn AUTHOR EXTENSIONS More terms from Jud McCranie Feb 15 1997 STATUS approved

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Last modified September 23 20:42 EDT 2021. Contains 347617 sequences. (Running on oeis4.)