|
Search: id:A144009
|
|
|
| A144009 |
|
E.g.f. satisfies: A'(x) = (1 + x*A(x))^4 with A(0)=1. |
|
+0
2
|
|
| 1, 1, 4, 20, 144, 1352, 15360, 206688, 3214848, 56694144, 1118486016, 24409113600, 583825803264, 15188350556160, 426989455147008, 12899931159564288, 416802018563850240, 14342136885537472512, 523630043964811247616
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
Compare the definition of the e.g.f. A(x) to the trivial statement:
if F(x) = 1/(1-x) then F'(x) = (1 + x*F(x))^2.
|
|
FORMULA
|
E.g.f. satisfies: A(x) = 1 + Integral (1 + x*A(x))^4 dx.
|
|
PROGRAM
|
(PARI) {a(n)=local(A=1+x); for(i=0, n, A=1+intformal((1+x*A+x*O(x^n))^4)); n!*polcoeff(A, n)}
|
|
CROSSREFS
|
Cf. A144008.
Sequence in context: A004204 A160567 A034216 this_sequence A117887 A082988 A001171
Adjacent sequences: A144006 A144007 A144008 this_sequence A144010 A144011 A144012
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Sep 10 2008
|
|
|
Search completed in 0.002 seconds
|
