A080240 -id:A080240

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A080241

Define two sequences by A_n = mex{A_i,B_i : 0 <= i < n} for n >= 0, B_0=0, B_1=1 and for n >= 2, B_n = 2B_{n-1}+(-1)^{A_n}. Sequence gives B_n.

+10
1

0, 1, 3, 7, 13, 27, 55, 109, 219, 437, 875, 1751, 3501, 7003, 14005, 28011, 56021, 112043, 224085, 448171, 896341, 1792683, 3585365, 7170731, 14341463, 28682925, 57365851, 114731701, 229463403, 458926805, 917853611, 1835707221

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OFFSET

0,3

COMMENTS

The minimal excluded value of set of nonnegative numbers S is mex S = least nonnegative integer not in S.

The sequence A_n is given in A080240.

LINKS

Table of n, a(n) for n=0..31.

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.

CROSSREFS

Cf. A080240.

KEYWORD

nonn

AUTHOR

Aviezri S. Fraenkel, Mar 12 2003

EXTENSIONS

More terms from John W. Layman, May 04 2004

STATUS

approved

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