|
Search: id:A075913
|
|
| |
|
| 1, 75, 3500, 131250, 4344375, 132890625, 3855156250, 107765625000, 2933008203125, 78271552734375, 2058270703125000, 53524929199218750, 1380066321044921875, 35349237725830078125, 900813505310058593750
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
The e.g.f. given below is sum(A075513(5,m)*exp(5*(m+1)*x),m=0..4)/4!.
|
|
FORMULA
|
a(n)=A075500(n+5, 5)=(5^n)*S2(n+5, 5) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= sum(A075513(5, m)*((m+1)*5)^n, m=0..4)/4!.
G.f.: 1/product(1-5*k*x, k=1..5).
E.g.f.: diff((((exp(5*x)-1)/5)^5)/5!, x$5) = (exp(5*x)-64*exp(10*x)+486*exp(15*x)-1024*exp(20*x)+625*exp(25*x))/4!.
|
|
CROSSREFS
|
Cf. A075912, A075914.
Sequence in context: A017791 A017738 A166725 this_sequence A134228 A110902 A114910
Adjacent sequences: A075910 A075911 A075912 this_sequence A075914 A075915 A075916
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Oct 02, 2002
|
|
|
Search completed in 0.002 seconds
|
