OFFSET

0,2

COMMENTS

a(n) is an example, the first that is encountered, of a binary vector of length n that has the smallest number of factorizations as a product of palindromes.

LINKS

Lars Blomberg, Table of n, a(n) for n = 0..26

EXAMPLE

If the numbers are written under each other, there is a suggestion of a pattern (see A215255 for the most obvious pattern). It would be interesting to have more terms to see if the pattern continues.

0 1 1

1 10 10

2 100 100

3 1001 1001

4 10010 10010

5 100101 a

6 1001101 b1

7 10010110 a10

8 101001101 10b1

9 1001011001 a1001

10 10010110010 a10010

11 100101100101 aa

12 1001101001101 bb1

13 10010110010110 aa10

14 101001101001101 10bb1

15 1001011001011001 aa1001

16 10010110010110010 aa10010

17 100101100101100101 aaa

18 1001101001101001101 bbb1

19 10010110010110010110 aaa10

20 101001101001101001101 10bbb1

21 1001011001011001011001 aaa1001

22 10010110010110010110010 aaa10010

23 100101100101100101100101 aaaa

24 1001101001101001101001101 bbbb1

25 10010110010110010110010110 aaaa10

26 101001101001101001101001101 10bbbb1

The rightmost column is obtained by substituting a=100101 and b=100110. A period of 6 is apparent. - Lars Blomberg, May 18 2019

CROSSREFS

KEYWORD

nonn,base

AUTHOR

N. J. A. Sloane, Aug 14 2012

EXTENSIONS

Example augmented by Lars Blomberg, May 18 2019

STATUS

approved