OFFSET
0,2
COMMENTS
Sum of the products of the factorials of the partition parts of n+2 into two parts. - Wesley Ivan Hurt, Mar 18 2016
FORMULA
a(n) = A134134(n+2,2), n>=0.
a(n) = Sum_{i=1..floor(n/2)+1} i! * (n-i+2)!. - Wesley Ivan Hurt, Mar 18 2016
EXAMPLE
a(2)=10; The partitions of (2)+2 = 4 into two parts are: (3,1) and (2,2). The sum of the products of the factorials of the partition parts is: 3!*1! + 2!*2! = 6 + 4 = 10. - Wesley Ivan Hurt, Mar 18 2016
MAPLE
A144895:=n->add(i!*(n-i+2)!, i=1..floor(n/2)+1): seq(A144895(n), n=0..30); # Wesley Ivan Hurt, Mar 18 2016
MATHEMATICA
Table[Sum[i!*(n - i + 2)!, {i, Floor[n/2] + 1}], {n, 0, 20}] (* Wesley Ivan Hurt, Mar 18 2016 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Oct 09 2008
STATUS
approved