|
|
A144028
|
|
INVERT transform of A055615, n*mu(n).
|
|
2
|
|
|
1, 1, -1, -6, -7, 3, 36, 55, -9, -221, -373, -18, 1290, 2506, 643, -7488, -16487, -7258, 42577, 106701, 65695, -236923, -681856, -534130, 1282512, 4304675, 4079414, -6687222, -26866199, -29871373, 33019148, 165771711, 212092381, -149113958, -1010995614
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,4
|
|
COMMENTS
|
Equals row sums of triangle A144029.
|
|
LINKS
|
|
|
FORMULA
|
a(4) = -7 = (0, -3, -2, 1) dot (1, 1, -1, -6); where (0, -3, -2, 1) = the first 4 terms of n*mu(n) reversed. (1, 1, -1, -6) = the first 4 terms of the INVERT recursion operation.
|
|
MAPLE
|
a:= proc(n) option remember; `if`(n=0, 1,
add(a(n-i)*i*numtheory[mobius](i), i=1..n))
end:
|
|
MATHEMATICA
|
a[n_] := a[n] = If[n == 0, 1, Sum[a[n-i]*i*MoebiusMu[i], {i, 1, n}]];
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|