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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 (list; graph; refs; listen; history; text; internal format)
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(n-2) a(n-1) 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 b-file 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

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Last modified March 30 15:42 EDT 2020. Contains 333127 sequences. (Running on oeis4.)