|
|
A284500
|
|
Expansion of Product_{k>=0} (1 - x^(7*k+2)) in powers of x.
|
|
6
|
|
|
1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, -1, 0, 2, 0, -1, 0, 0, -1, 0, 2, 0, -1, 0, 0, -1, 0, 3, 0, -2, 0, 0, -1, 0, 3, 0, -3, 0, 1, -1, 0, 4, 0, -4, 0, 1, -1, 0, 4, 0, -5, 0, 2, -1, 0, 5, 0, -7, 0, 3, -1, 0, 5, 0, -8, 0, 5, -1, -1
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,26
|
|
LINKS
|
|
|
FORMULA
|
a(n) = -(1/n)*Sum_{k=1..n} A284443(k)*a(n-k), a(0) = 1.
|
|
MAPLE
|
S:= series(mul(1-x^(7*k+2), k=0..(100-2)/7), x, 101):
|
|
MATHEMATICA
|
CoefficientList[Series[Product[1 - x^(7k + 2), {k, 0, 100}], {x, 0, 100}], x] (* Indranil Ghosh, Mar 28 2017 *)
|
|
PROG
|
(PARI) Vec(prod(k=0, 100, 1 - x^(7*k + 2)) + O(x^101)) \\ Indranil Ghosh, Mar 28 2017
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|