|
| |
|
|
A206457
|
|
Number of 0..n arrays of length n+3 avoiding the consecutive pattern 0..n.
|
|
1
|
|
|
|
5, 216, 4048, 78050, 1679508, 40353460, 1073741632, 31381059366, 999999999700, 34522712143568, 1283918464548432, 51185893014090250, 2177953337809370548, 98526125335693358700, 4722366482869645212928, 239072435685151324846286
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
|
|
|
LINKS
|
|
|
|
FORMULA
|
Empirical: a(n) = Sum_{i=0..floor((n+3)/(n+1))} ((-1)^i*(n+1)^((n+3) -(n+1)*i)*binomial((n+3)-n*i,i)).
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
