

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
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OFFSET

0,3


COMMENTS

From Ppositions 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

Table of n, a(n) for n=0..68.
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(n1) + 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



