|
Search: id:A049215
|
|
|
| A049215 |
|
Scaled coefficients of (arctanh x)^4. |
|
+0 2
|
|
| 1, 40, 2464, 229760, 30633856, 5561407488, 1322489954304, 399463775797248, 149519094622027776, 67960463478175825920, 36884466463352967659520, 23566236397584291201024000, 17511732541318788803985408000
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
FORMULA
|
e.g.f. (arctanh x)^4 or (1-x^2)^-1 * (arctanh x)^3
a(n) is coefficient of x^(2*n+4) in (arctanh x)^4, multiplied by (2*n+4)!/4!
|
|
EXAMPLE
|
(arctanh x)^4 = x^4 + 4/3*x^6 + 22/15*x^8 + 1436/945*x^10 + ...
|
|
CROSSREFS
|
Sequence in context: A060056 A140729 A003741 this_sequence A059948 A045502 A123810
Adjacent sequences: A049212 A049213 A049214 this_sequence A049216 A049217 A049218
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Joe Keane (jgk(AT)jgk.org)
|
|
|
Search completed in 0.002 seconds
|