|
|
A112008
|
|
Fourth diagonal of second-order Eulerian triangle A008517. Fourth column (m=3) of triangle A112007.
|
|
5
|
|
|
1, 52, 1452, 32120, 644020, 12440064, 238904904, 4642163952, 92199790224, 1883079661824, 39689578055808, 865023253219584, 19515249341231616, 455924361142656000, 11030149104146035200, 276260563641659673600
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
a(n)= (n+7)*a(n-1) + (n+1)*A002539(n+1), n>=1, a(0)=1.
a(n) = sum((-1)^(n+k)*binomial(2*n+9,k)*stirling1(n-k+8,4-k), k=0..3)
(End)
|
|
EXAMPLE
|
1452= a(2) = 9*52 + 3*328.
|
|
CROSSREFS
|
Equals fourth left hand column of A163936.
(End)
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|