|
|
A164419
|
|
Number of binary strings of length n with no substrings equal to 0000, 0010, or 0110.
|
|
1
|
|
|
1, 2, 4, 8, 13, 21, 33, 55, 92, 156, 260, 433, 717, 1193, 1985, 3310, 5512, 9180, 15277, 25433, 42337, 70495, 117368, 195416, 325336, 541649, 901769, 1501361, 2499601, 4161594, 6928588, 11535360, 19205085, 31974413, 53233921, 88628791, 147557332, 245667060
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
G.f.: -(x^5+2*x^4+3*x^3+x^2+x+1)/(x^6+x^5+x^4-x^3+x^2+x-1). - R. J. Mathar, Nov 30 2011
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|