|
| |
|
|
A164431
|
|
Number of binary strings of length n with no substrings equal to 0000 0011 or 1101
|
|
1
|
|
|
|
13, 21, 34, 54, 86, 139, 225, 364, 590, 956, 1547, 2503, 4050, 6552, 10600, 17151, 27751, 44902, 72654, 117558, 190213, 307771, 497984, 805754, 1303736, 2109489, 3413225, 5522714, 8935940, 14458656, 23394597, 37853253, 61247850, 99101102
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
4,1
|
|
|
LINKS
|
R. H. Hardin, Table of n, a(n) for n=4..500
Index entries for linear recurrences with constant coefficients, signature (2,-1,1,-1,0,1).
|
|
|
FORMULA
|
G.f. -x^4*(13-5*x+5*x^2-6*x^3+4*x^4+8*x^5) / ( (x^2+x-1)*(x^4-x^3+x^2-x+1) ). - R. J. Mathar, Jan 19 2011
|
|
|
MATHEMATICA
|
LinearRecurrence[{2, -1, 1, -1, 0, 1}, {13, 21, 34, 54, 86, 139}, 40] (* Harvey P. Dale, May 19 2016 *)
|
|
|
CROSSREFS
|
Sequence in context: A164481 A164433 A164479 * A164497 A164503 A067516
Adjacent sequences: A164428 A164429 A164430 * A164432 A164433 A164434
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
R. H. Hardin Aug 14 2009
|
|
|
STATUS
|
approved
|
| |
|
|
