|
Search: id:A003163
|
|
|
| A003163 |
|
Denominators of Van der Pol numbers.
(Formerly M1534)
|
|
+0
2
|
|
| 1, 2, 5, 20, 350, 140, 1050, 300, 57750, 38500, 250250, 45500, 2388750, 367500, 318750, 42500, 1088106250, 128012500, 960093750, 101062500, 105761906250, 10072562500, 2289218750, 199062500, 8842968750, 707437500, 51289218750
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
REFERENCES
|
F. T. Howard, Properties of the van der Pol numbers and polynomials, R. Reine Angew. Math., 260 (1973), 35-46.
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n=0..200
|
|
FORMULA
|
E.g.f.: x^3/( 6*x*(exp(x)+1)-12*(exp(x)-1) ).
|
|
EXAMPLE
|
1, -1/2, 1/5, -1/20, -1/350, 1/140, 1/1050, -1/300, -37/57750, 111/38500, 177/250250, -177/45500, ... = A003163/A003164
|
|
MAPLE
|
G:=x^3/(6*x*(exp(x)+1)-12*(exp(x)-1)):Gser:=series(G, x=0, 35):1, seq(denom(n!*coeff(Gser, x^n)), n=1..31); (Deutsch)
|
|
CROSSREFS
|
Cf. A003164.
Sequence in context: A058109 A005331 A006893 this_sequence A088498 A039777 A000941
Adjacent sequences: A003160 A003161 A003162 this_sequence A003164 A003165 A003166
|
|
KEYWORD
|
nonn,frac,nice,easy
|
|
AUTHOR
|
njas
|
|
EXTENSIONS
|
More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 23 2004
|
|
|
Search completed in 0.002 seconds
|
