

A214809


A214330 prefixed by a 0 consists of a concatenation of strings 0111010(01)^n, each such string ending with n >= 0 copies of 10; sequence gives successive values of n.


3



2, 1, 0, 4, 0, 3, 0, 0, 1, 1, 3, 1, 6, 4, 0, 0, 0, 4, 2, 0, 1, 2, 4, 2, 1, 1, 0, 0, 7, 0, 0, 3, 0, 1, 0, 8, 1, 5, 0, 0, 3, 1, 0, 1, 0, 0, 1, 1, 4, 0, 0, 1, 1, 0, 0, 0, 0, 3, 1, 1, 2, 0, 2, 2, 0, 1, 5, 1, 3, 2, 0, 0, 4, 0, 0, 1, 2, 5, 8, 6, 4, 11, 3, 8, 0, 0, 1, 0, 6, 4, 2, 1, 0, 0, 2, 9, 5, 1, 0, 0, 2, 0, 0, 3, 3, 1, 5, 3, 2, 7, 5, 0, 4, 0, 5, 0, 1, 1, 2, 0
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OFFSET

1,1


COMMENTS

If we change the three initial terms of A214551 (as in A214331 and A214626), again read the sequence mod 2, and decompose the result into strings 0111010(01)^n, will the sequence of values of n have anything in common with the current sequence? Is A214809 in any way characteristic of this family of sequences?


LINKS

N. J. A. Sloane, Table of n, a(n) for n = 1..916
%H N. J. A. Sloane, State diagram [State diagram for A214551 mod 2 for any three initial terms. Nodes are labeled with a(n2) a(n1) a(n), edges are labeled with a(n+1).]


EXAMPLE

Let s = 0111010. Then 0, A214330 starts
s1010s10ss10101010ss101010sss10s10s101010s10s101010101010s10101010ssss101\
01010s1010ss10s1010s10101010s1010s10s10sss10101010101010sss101010ss10ss10\
10101010101010s10s1010101010sss101010s10ss10sss10s10s10101010sss10s10ssss\
s101010s10s10s1010ss1010s1010ss10s1010101010s10s101010s1010sss10101010sss\
..., in which the successive numbers of 10's are 2, 1, 0, 4, 0, 3, 0, 0, ...


PROG

(SHELL) Using bfile for A214330, condense 10000 terms into one long string; prefix with 0.
Using vi, s/0111010/s/g; then s/10/a/g;
Using tr, break up so that there is one s per line.
Using awk, count the a's per line.


CROSSREFS

Cf. A214330, A214551.
Sequence in context: A143424 A130125 A317552 * A137336 A115322 A053117
Adjacent sequences: A214806 A214807 A214808 * A214810 A214811 A214812


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Jul 30 2012


STATUS

approved



