|
|
A107332
|
|
Expansion of x^2*(-1+x+x^2)/(-1+x+x^2-x^3+x^5).
|
|
1
|
|
|
0, 1, 0, 0, -1, -1, -1, -1, -1, -2, -3, -5, -7, -10, -14, -20, -29, -42, -61, -88, -127, -183, -264, -381, -550, -794, -1146, -1654, -2387, -3445, -4972, -7176, -10357, -14948, -21574, -31137, -44939, -64859, -93609, -135103, -194990, -281423, -406169, -586211, -846060, -1221092, -1762364
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,10
|
|
LINKS
|
|
|
FORMULA
|
a(n) = a(n-1) + a(n-2) - a(n-3) + a(n-5) for n>=5.
O.g.f.: x^2*(-1+x+x^2)/(-1+x+x^2-x^3+x^5). - R. J. Mathar, Dec 02 2007
|
|
MAPLE
|
a[0]:=0:a[1]:=1:a[2]:=0:a[3]:=0:a[4]:=-1:
for n from 5 to 46 do a[n]:=a[n-1]+a[n-2]-a[n-3]+a[n-5] od:
seq(a[n], n=0..46);
|
|
MATHEMATICA
|
LinearRecurrence[{1, 1, -1, 0, 1}, {0, 1, 0, 0, -1}, 50] (* Harvey P. Dale, Oct 11 2015 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|