login
A273008
a(n)/(4^(n-1)*(4^n - 1)) is the variance of the length of a longest common subsequence between two random binary strings of the length n.
0
1, 23, 476, 9463, 179708, 3285359, 58821148, 1036541808, 18048642524, 311226939840, 5325007685376, 90541291530096, 1531388084625152
OFFSET
1,2
COMMENTS
A027433(n)/4^n gives the expected value of the length of a longest common subsequence between two random binary strings of the length n, and a(n)/(4^(n-1)*(4^n - 1)) gives the variance (the squared standard deviation) of that length.
LINKS
Vacláv Chvátal, David Sankoff, Longest Common Subsequences of Two Random Sequences, Journal of Applied Probability, Vol. 12, No. 2 (Jun., 1975), pp. 306-315, DOI: 10.2307/3212444.
CROSSREFS
Cf. A027433.
Sequence in context: A134733 A328348 A095256 * A015678 A293083 A014905
KEYWORD
nonn,hard,more
AUTHOR
STATUS
approved