A094863 - OEIS

A094863

Maximal number of longest common subsequences between any two strings of length n (Version 2).

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

Table of n, a(n) for n=1..8.

CROSSREFS

Cf. A026107, A094858.

Sequence in context: A166012 A060166 A053634 * A094862 A104722 A270613

Adjacent sequences: A094860 A094861 A094862 * A094864 A094865 A094866

KEYWORD

nonn,more,nice,hard

AUTHOR

Guenter Stertenbrink (Sterten(AT)aol.com), Jun 14 2004

STATUS

approved