|
Search: id:A075515
|
|
| |
|
| 1, 45, 1260, 28350, 563031, 10333575, 179866170, 3016747800, 49263275061, 788796913905, 12445575859080, 194186867360850, 3004103990159091, 46168557763591035, 705914973500103990, 10750288516418083500
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
The e.g.f. given below is sum(A075513(5,m)*exp(3*(m+1)*x),m=0..4)/4!.
|
|
FORMULA
|
a(n)=A075498(n+5, 5)=(3^n)*S2(n+5, 5) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)=sum(A075513(5, m)*exp((m+1)*3)^n, m=0..4)/4!.
G.f.: 1/product((1-3*k*x), k=1..5).
E.g.f.: diff((((exp(3*x)-1)/3)^5)/5!, x$5) = (exp(3*x)-64*exp(6*x)+486*exp(9*x)-1024*exp(12*x)+625*exp(15*x))/4!.
|
|
CROSSREFS
|
Cf. A028085, A075516.
Sequence in context: A049447 A143400 A004350 this_sequence A145151 A027476 A062262
Adjacent sequences: A075512 A075513 A075514 this_sequence A075516 A075517 A075518
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Oct 02, 2002
|
|
|
Search completed in 0.002 seconds
|
