|
Search: id:A076003
|
|
| |
|
| 1, 48, 1600, 46080, 1232896, 31653888, 792985600, 19566428160, 478167433216, 11613323132928, 280917704704000, 6777200695050240, 163215697915150336, 3926183399462535168, 94372512377130188800
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
The e.g.f. given below is sum(A075513(3,m)*exp(8*(m+1)*x),m=0..2)/2!.
|
|
FORMULA
|
a(n)=A075503(n+3, 3)=(8^n)*S2(n+3, 3) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= (8^n-8*16^n+9*24^n)/2.
G.f.: 1/product(1-8*k*x, k=1..3).
E.g.f.: diff((((exp(8*x)-1)/8)^3)/3!, x$3) = (exp(8*x)-8*exp(16*x)+9*exp(24*x))/2!.
|
|
CROSSREFS
|
Cf. A060195, A076004.
Sequence in context: A004362 A062195 A004386 this_sequence A008845 A049678 A063822
Adjacent sequences: A076000 A076001 A076002 this_sequence A076004 A076005 A076006
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Oct 02, 2002
|
|
|
Search completed in 0.002 seconds
|
