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A080241
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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.
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1
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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
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0,3
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COMMENTS
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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.
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LINKS
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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.
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CROSSREFS
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Cf. A080240.
Sequence in context: A298360 A140465 A301594 * A098479 A119445 A146904
Adjacent sequences: A080238 A080239 A080240 * A080242 A080243 A080244
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KEYWORD
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nonn
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AUTHOR
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Aviezri S. Fraenkel, Mar 12 2003
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EXTENSIONS
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More terms from John W. Layman, May 04 2004
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STATUS
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approved
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