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 A081688 0 followed by A030124 - 1. 2
 0, 1, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS From P-positions in a certain game. The rule "monotonically increasing sequence where the size of each run of consecutive integers is given by the sequence itself" produces this sequence without the initial 0. -  Eric Angelini, Aug 19 2008 LINKS A. S. Fraenkel, Home Page A. S. Fraenkel, New games related to old and new sequences, INTEGERS, Electronic J. of Combinatorial Number Theory, Vol. 4, Paper G6, 2004. FORMULA Let a(n) = this sequence, b(n) = A081689. Then a(n) = mex{ a(i), b(i) : 0 <= i < n}, b(n) = b(n-1) + a(n) + 1. Apart from initial zero, complement of A081689. CROSSREFS Cf. A030124, A005228, A081689. Sequence in context: A072225 A137689 A081690 * A118170 A039094 A241687 Adjacent sequences:  A081685 A081686 A081687 * A081689 A081690 A081691 KEYWORD nonn AUTHOR N. J. A. Sloane, Apr 02 2003 STATUS approved

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Last modified June 23 06:51 EDT 2021. Contains 345395 sequences. (Running on oeis4.)