login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A212030 G.f. satisfies: A(x) = 1 + x*A(x*A(x)^2)^3. 0
1, 1, 3, 18, 142, 1350, 14607, 174626, 2263749, 31426878, 463144150, 7199095692, 117452998632, 2003613768328, 35628141598164, 658723330672311, 12636278430184303, 251042922016657782, 5156985005918404047, 109382326645948764003, 2392477607054828471286 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..20.

EXAMPLE

G.f.: A(x) = 1 + x + 3*x^2 + 18*x^3 + 142*x^4 + 1350*x^5 + 14607*x^6 +...

Related expansions:

A(x)^2 = 1 + 2*x + 7*x^2 + 42*x^3 + 329*x^4 + 3092*x^5 + 33090*x^6 +...

A(x)^3 = 1 + 3*x + 12*x^2 + 73*x^3 + 570*x^4 + 5307*x^5 + 56226*x^6 +...

A(x*A(x)^2) = 1 + x + 5*x^2 + 37*x^3 + 346*x^4 + 3745*x^5 + 45132*x^6 +...

A(x*A(x)^2)^3 = 1 + 3*x + 18*x^2 + 142*x^3 + 1350*x^4 + 14607*x^5 +...

PROG

(PARI) {a(n)=local(A=1+x+x*O(x^n)); for(i=0, n, A=1+x*subst(A^3, x, x*A^2)); polcoeff(A, n)}

for(n=0, 30, print1(a(n), ", "))

CROSSREFS

Cf. A143508, A143501, A212029.

Sequence in context: A260506 A193237 A325996 * A259904 A107708 A224992

Adjacent sequences:  A212027 A212028 A212029 * A212031 A212032 A212033

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Apr 27 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 29 04:38 EST 2021. Contains 349416 sequences. (Running on oeis4.)