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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. +0
2
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 (list; graph; listen)
OFFSET

0,3

COMMENT

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

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.

CROSSREFS

Cf. A080240.

Sequence in context: A099810 A125898 A068673 this_sequence A098479 A119445 A089726

Adjacent sequences: A080238 A080239 A080240 this_sequence A080242 A080243 A080244

KEYWORD

nonn

AUTHOR

Aviezri Fraenkel, Mar 12, 2003

EXTENSIONS

More terms from John W. Layman (layman(AT)math.vt.edu), May 04 2004

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Last modified July 6 17:22 EDT 2008. Contains 140988 sequences.


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