

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_{n1}+(1)^{A_n}. Sequence gives B_n.


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
(list;
graph;
refs;
listen;
history;
text;
internal format)



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.
Sequence in context: A298360 A140465 A301594 * A098479 A119445 A146904
Adjacent sequences: A080238 A080239 A080240 * A080242 A080243 A080244


KEYWORD

nonn


AUTHOR

Aviezri S. Fraenkel, Mar 12 2003


EXTENSIONS

More terms from John W. Layman, May 04 2004


STATUS

approved



