|
|
A107287
|
|
a(n) = a(n-1)+a(n-2)-a(n-3)+a(n-5), n>7.
|
|
0
|
|
|
1, 0, 1, 1, 1, 4, 4, 6, 7, 10, 15, 22, 33, 47, 68, 97, 140, 202, 292, 422, 609, 879, 1268, 1830, 2641, 3812, 5502, 7941, 11461, 16541, 23873, 34455, 49728, 71771, 103585, 149501, 215770, 311414, 449454, 648683, 936224, 1351223, 1950178, 2814631
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,6
|
|
LINKS
|
|
|
FORMULA
|
G.f.: (-1+x)*(1+x)*(2*x^5+x^2-x+1)/(-1+x+x^2-x^3+x^5). [Sep 28 2009]
|
|
MATHEMATICA
|
M = {{0, 1, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, 0, 1}, {1, 0, -1, 1, 1}} v[1] = {1, 0, -1, 1, 1} v[n_] := v[n] = M.v[n - 1] a = Table[Abs[v[n][[1]]], {n, 1, 50}]
LinearRecurrence[{1, 1, -1, 0, 1}, {1, 0, 1, 1, 1, 4, 4, 6}, 50] (* Harvey P. Dale, Sep 24 2015 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
Definition replaced by recurrence by the Associate Editors of the OEIS, Sep 28 2009
|
|
STATUS
|
approved
|
|
|
|