|
|
A080291
|
|
a(n)=(-1)^(n+1)n^n(n+(1/12)(n^2-1)).
|
|
0
|
|
|
1, -9, 99, -1344, 21875, -416016, 9058973, -222298112, 6069587661, -182500000000, 5991545082831, -213243402387456, 8177627877990831, -336138206473129984, 14742427642822265625, -687141216745680797696, 33916850737339807331257
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
a(n) is the determinant of the n X n matrix M with M(i,i)=2i-n, M(i.j)=i+j.
|
|
LINKS
|
|
|
FORMULA
|
a(n)=(-1)^(n+1)n^n(n+(1/12)(n^2-1)). a(n)=(-1)^n(n^n-n^(n-1)A002378(n)-n^(n-2)A002415(n)).
|
|
MATHEMATICA
|
Table[(-1)^(n + 1)n^n(n + (n^2 - 1)/12), {n, 1, 17}]
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,sign
|
|
AUTHOR
|
Mario Catalani (mario.catalani(AT)unito.it), Feb 13 2003
|
|
STATUS
|
approved
|
|
|
|