login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A094863 Maximal number of longest common subsequences between any two strings of length n (Version 2). 1
1, 2, 3, 4, 7, 10, 19, 28 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Same as A094858 (which has much more information about the problem), except that we now we allow an arbitrary alphabet.
For even n it seems that the maximum is attained for X = 123412341234..., Y = 432143214321..., giving values : (conjectured) maximum number of maximum-length-common-subsequences of 2 strings of length 2*n over an arbitrary (infinite) alphabet f(2*n) = 2,4,10,28,78,220,624,1780,5100,14668,.. Note that (3*f(2*n)-f(2*n+2))/2 gives 1,1,1,3,7,18,46,120,316,841,2257,6103,16611,45475,125139,.. which is A026107. Is there an explanation for this?
LINKS
CROSSREFS
Sequence in context: A166012 A060166 A053634 * A094862 A104722 A270613
KEYWORD
nonn,more,nice,hard
AUTHOR
Guenter Stertenbrink (Sterten(AT)aol.com), Jun 14 2004
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)