|
|
A109963
|
|
Diagonal sums of number triangle A109962.
|
|
1
|
|
|
1, -1, 5, -27, 171, -1178, 8582, -65029, 507317, -4047608, 32874104, -270893586, 2259210814, -19032956491, 161735556091, -1384662302187, 11931865642979, -103409449621325, 900778907303037, -7882176975668156, 69253864680597564, -610717827031587856
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
G.f.: g/(1-f) where f/(1-f)^4=x and g=1/(1-f); a(n)=(-1)^n*sum{k=0..floor(n/2), ((4k+1)/(3n-2k+1))*binomial(4n-4k, n-2k)}.
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,sign
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|