|
Search: id:A051609
|
|
|
| A051609 |
|
(3*n+9)!!!/9!!!, related to A032031 ((3*n)!!! triple factorials). |
|
+0
4
|
|
| 1, 12, 180, 3240, 68040, 1632960, 44089920, 1322697600, 43649020800, 1571364748800, 61283225203200, 2573895458534400, 115825295634048000, 5559614190434304000, 283540323712149504000, 15311177480456073216000
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Row m=9 of the array A(4; m,n) := ((3*n+m)(!^3))/m(!^3), m >= 0, n >= 0.
|
|
FORMULA
|
a(n) = ((3*n+9)(!^3))/9(!^3); e.g.f.: 1/(1-3*x)^4.
|
|
MAPLE
|
restart: G(x):=(1-3*x)^(n-5): f[0]:=G(x): for n from 1 to 29 do f[n]:=diff(f[n-1], x) od:x:=0:seq(f[n], n=0..15); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 04 2009]
|
|
CROSSREFS
|
Cf. A032031, A007559(n+1), A034000(n+1), A034001(n+1), A051604-A051608 (rows m=0..8).
Sequence in context: A073975 A069685 A000515 this_sequence A001814 A013924 A145560
Adjacent sequences: A051606 A051607 A051608 this_sequence A051610 A051611 A051612
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
|
|
|
Search completed in 0.002 seconds
|
