|
Search: id:A143435
|
|
|
| A143435 |
|
G.f. satisfies: A(x) = 1 + x*A(x*A(x))^3. |
|
+0
3
|
|
| 1, 1, 3, 15, 97, 738, 6297, 58630, 585543, 6200916, 69071103, 804470751, 9753459717, 122670681073, 1596129692136, 21437840848440, 296680980737270, 4224090724829151, 61794432127467450, 927795254532531834
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
FORMULA
|
G.f. satisfies: x - G(x) = G(x)^2*A(x)^3 where G(x*A) = x.
|
|
EXAMPLE
|
G.f.: A(x) = 1 + x + 3*x^2 + 15*x^3 + 97*x^4 + 738*x^5 + 6297*x^6 +...
A(x*A(x)) = 1 + x + 4*x^2 + 24*x^3 + 178*x^4 + 1511*x^5 + 14130*x^6 +...
A(x*A(x))^3 = 1 + 3*x + 15*x^2 + 97*x^3 + 738*x^4 + 6297*x^5 +...
|
|
PROGRAM
|
(PARI) {a(n)=local(A=1+x+x*O(x^n)); for(i=0, n, A=1+x*subst(A^3, x, x*A)); polcoeff(A, n)}
|
|
CROSSREFS
|
Cf. A143426, A143436, A143437.
Sequence in context: A079689 A108442 A060148 this_sequence A132437 A128081 A046635
Adjacent sequences: A143432 A143433 A143434 this_sequence A143436 A143437 A143438
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Aug 14 2008
|
|
|
Search completed in 0.002 seconds
|
