|
|
A305787
|
|
Inverse Euler transform of (-n)^n.
|
|
2
|
|
|
-1, 4, -23, 223, -2800, 42599, -763220, 15734388, -366715248, 9533820200, -273549419552, 8586984241870, -292755986184548, 10772849584162694, -425587711650564816, 17966217346985801150, -807152054953801845760, 38451365602113718874568, -1936082850634342992601636
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
LINKS
|
|
|
FORMULA
|
Product_{k>=1} 1/(1-x^k)^{a(k)} = Sum_{n>=0} (-n * x)^n.
|
|
EXAMPLE
|
(1-x) * (1-x^2)^(-4) * (1-x^3)^23 * (1-x^4)^(-223) * ... = 1 - x + 4*x^2 - 27*x^3 + 256*x^4 - ... .
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|