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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

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(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.)