|
|
A029330
|
|
Expansion of 1/((1-x^4)(1-x^5)(1-x^6)(1-x^11)).
|
|
0
|
|
|
1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 3, 4, 3, 3, 3, 5, 5, 6, 5, 6, 6, 8, 8, 9, 8, 10, 10, 12, 12, 13, 13, 15, 15, 17, 17, 19, 19, 21, 21, 24, 24, 26, 26, 29, 29, 32, 32, 35, 35, 38, 39, 42, 42, 45, 46, 50, 50, 53, 54
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,11
|
|
LINKS
|
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 1, 1, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, 1, 0, 0, 0, -1).
|
|
FORMULA
|
a(0)=1, a(1)=0, a(2)=0, a(3)=0, a(4)=1, a(5)=1, a(6)=1, a(7)=0, a(8)=1, a(9)=1, a(10)=2, a(11)=2, a(12)=2, a(13)=1, a(14)=2, a(15)=3, a(16)=4, a(17)=3, a(18)=3, a(19)=3, a(20)=5, a(21)=5, a(22)=6, a(23)=5, a(24)=6, a(25)=6, a(n)=a(n-4)+a(n-5)+a(n-6)-a(n-9)-a(n-10)-a(n-16)-a(n-17)+ a(n-20)+ a(n-21)+a(n-22)-a(n-26). - Harvey P. Dale, Jul 10 2013
|
|
MATHEMATICA
|
CoefficientList[Series[1/((1-x^4)(1-x^5)(1-x^6)(1-x^11)), {x, 0, 80}], x] (* or *) LinearRecurrence[ {0, 0, 0, 1, 1, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, 1, 0, 0, 0, -1}, {1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 3, 4, 3, 3, 3, 5, 5, 6, 5, 6, 6}, 80] (* Harvey P. Dale, Jul 10 2013 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|