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A080240
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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 A_n.
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1
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0, 1, 2, 4, 5, 6, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| The minimal excluded value of set of nonnegative numbers S is mex S = least nonnegative integer not in S.
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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.
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CROSSREFS
| Cf. A080241.
Sequence in context: A172284 A039242 A039185 * A135668 A039138 A030124
Adjacent sequences: A080237 A080238 A080239 * A080241 A080242 A080243
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KEYWORD
| nonn
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AUTHOR
| Aviezri Fraenkel, Mar 12, 2003
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 13 2005
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