A214809 - OEIS

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.

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

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.