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A080240 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. +0
2
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; 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. A080241.

Sequence in context: A062289 A039242 A039185 this_sequence A135668 A039138 A030124

Adjacent sequences: A080237 A080238 A080239 this_sequence A080241 A080242 A080243

KEYWORD

nonn

AUTHOR

Aviezri Fraenkel, Mar 12, 2003

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 13 2005

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Last modified December 6 13:45 EST 2009. Contains 170429 sequences.


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