|
Search: id:A081915
|
|
|
| A081915 |
|
4^n(n^3-3n^2+2n+384)/384. |
|
+0
4
|
|
| 1, 4, 16, 65, 272, 1184, 5376, 25344, 122880, 606208, 3014656, 15007744, 74448896, 367001600, 1795162112, 8707375104, 41875931136, 199715979264, 944892805120, 4436701216768, 20684562497536, 95794950569984, 440904162738176
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Binomial transform of A081914. 4th binomial transform of (1,0,0,1,0,0,0,0,.....). Case k=4 where a(n,k)=k^n(n^3-3n^2+2n+6k^3)/(6k^3), with G.f.: (1-3kx+3k^2x^2-(k^3-1)x^3)/(1-kx)^4.
|
|
FORMULA
|
a(n)=4^n(n^3-3n^2+2n+384)/384. G.f.: (1-12x+48x^2-63x^3)/(1-4x)^4.
|
|
CROSSREFS
|
Cf. A081916.
Adjacent sequences: A081912 A081913 A081914 this_sequence A081916 A081917 A081918
Sequence in context: A026674 A099781 A026872 this_sequence A026762 A082307 A099782
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Mar 31 2003
|
|
|
Search completed in 0.002 seconds
|
