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!)
A120921 G.f. satisfies: A(x) = G(x) * A(x^4*G(x)^9), where G(x) is the g.f. of A001764: G(x) = 1 + x*G(x)^3. 3
1, 1, 3, 12, 56, 283, 1503, 8262, 46591, 267984, 1565949, 9269559, 55465035, 334919996, 2038268620, 12489068727, 76980573203, 476994419698, 2969444848029, 18563305700106, 116485903375761, 733457500802353 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Self-convolution cube equals A120920, which equals column 0 of triangle A120919 (cascadence of (1+x)^3).

LINKS

Table of n, a(n) for n=0..21.

PROG

(PARI) {a(n)=local(A=1+x, G=(1/x*serreverse(x/(1+x+x*O(x^n))^3))^(1/3)); for(i=0, n, A=G*subst(A, x, x^4*G^9 +x*O(x^n))); polcoeff(A, n, x)}

CROSSREFS

Cf. A120919, A120920, A001764; A001764 (ternary trees).

Sequence in context: A176281 A050147 A259800 * A226316 A195261 A276902

Adjacent sequences:  A120918 A120919 A120920 * A120922 A120923 A120924

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jul 17 2006

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 October 23 20:31 EDT 2021. Contains 348215 sequences. (Running on oeis4.)