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A096055 Let {s(i)}, i=0,1,2,... be a sequence of finite sequences with terms s(i)(j), j=1,2,3,... Start with s(0)={1}. Then, for k>0, let s(k)=s(k-1)Us(k-1) if s(k-1)(k)=0, s(k)=s(k-1)U{0}Us(k-1) if s(k-1)(k)=1, where s(i)(j) is the j-th element of s(i) and U denotes concatenation of the terms of the two operands. {a(n)} is the limit of s(k) as k goes to infinity. +0
3
1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0 (list; graph; listen)
OFFSET

1,1

COMMENT

Suggested by Leroy Quet Jul 18,2004.

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

EXAMPLE

Let s(0)={1}. Then

s(1)=s(0)U{0}Us(0)={1,0,1}, since s(0)(1)=1,

s(2)=s(2)Us(2)={1,0,1,1,0,1}, since s(1)(2)=0,

s(3)=s(2)U{0}Us(2)={1,0,1,1,0,1,0,1,0,1,1,0,1}, since s(2)(3)=1, etc.

CROSSREFS

Sequence in context: A104974 A024711 A128174 this_sequence A125144 A115198 A005614

Adjacent sequences: A096052 A096053 A096054 this_sequence A096056 A096057 A096058

KEYWORD

nonn

AUTHOR

John W. Layman (layman(AT)math.vt.edu), Jul 20 2004

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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