|
Search: id:A076013
|
|
| |
|
| 1, 252, 37422, 4286520, 419818707, 37047106404, 3037410645984, 235940417032320, 17594974122819093, 1271468563282273356, 89638618747098243186, 6196581962116572990600, 421646012618644954061559
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
The e.g.f. given below is sum(A075513(7,m)*exp(9*(m+1)*x),m=0..6)/6!.
|
|
FORMULA
|
a(n)=A075504(n+7, 7)=(9^n)*S2(n+7, 7) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= sum(A075513(7, m)*((m+1)*9)^n, m=0..6)/6!.
G.f.: 1/product(1-9*k*x, k=1..7).
E.g.f.: diff((((exp(9*x)-1)/9)^7)/7!, x$7) = (exp(9*x)-384*exp(18*x)+10935*exp(27*x)-81920*exp(36*x)+234375*exp(45*x)-279936*exp(54*x)+117649*exp(63*x))/6!.
|
|
CROSSREFS
|
Cf. A076012.
Sequence in context: A024018 A109924 A047831 this_sequence A078263 A109929 A014609
Adjacent sequences: A076010 A076011 A076012 this_sequence A076014 A076015 A076016
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Oct 02, 2002
|
|
|
Search completed in 0.002 seconds
|
