|
Search: id:A075915
|
|
| |
|
| 1, 140, 11550, 735000, 39991875, 1960612500, 89303500000, 3853850000000, 159664583203125, 6409926960937500, 251055710800781250, 9641722822265625000, 364483553427490234375, 13602971247133789062500
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
The e.g.f. given below is sum(A075513(7,m)exp(5*(m+1)*x),m=0..6)/6!.
|
|
FORMULA
|
a(n)=A075500(n+7, 7)=(5^n)S2(n+7, 7) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= sum(A075513(7, m)*((m+1)*5)^n, m=0..6)/6!.
a(n)= sum(A075513(7, m)*(5*(m+1))^n), m=0..6)/6!.
G.f.: 1/product(1-5k*x, k=1..7).
E.g.f.: diff((((exp(5x)-1)/5)^7)/7!, x$7) = (exp(5*x)-384*exp(10*x)+10935*exp(15*x)-81920*exp(20*x)+234375*exp(25x)-279936*exp(30*x)+117649*exp(35*x))/6!.
|
|
CROSSREFS
|
Cf. A075914.
Sequence in context: A128193 A061607 A035820 this_sequence A159362 A159366 A091755
Adjacent sequences: A075912 A075913 A075914 this_sequence A075916 A075917 A075918
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Oct 02, 2002
|
|
|
Search completed in 0.002 seconds
|
