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A205774 G.f. satisfies: A(x) = 1/Product_{n>=1} (1 - x^n*A(x^n)^3). 1
1, 1, 5, 27, 177, 1245, 9399, 73659, 595510, 4923724, 41451675, 354071010, 3061018302, 26732084764, 235476740731, 2089770720125, 18666863392846, 167697751329817, 1514206777182411, 13734387733516323, 125083419013852945, 1143367086845429280 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

EXAMPLE

G.f.: A(x) = 1 + x + 5*x^2 + 27*x^3 + 177*x^4 + 1245*x^5 +...

where

A(x) = 1/((1 - x*A(x)^3) * (1 - x^2*A(x^2)^3) * (1 - x^3*A(x^3)^3) *...).

PROG

(PARI) {a(n)=local(A=1+x); for(i=1, n, A=1/prod(k=1, n, (1-x^k*subst(A, x, x^k+x*O(x^n))^3))); polcoeff(A, n)}

CROSSREFS

Cf. A050383, A196192, A205775, A196191.

Sequence in context: A185622 A225309 A231091 * A326094 A232683 A240637

Adjacent sequences:  A205771 A205772 A205773 * A205775 A205776 A205777

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jan 31 2012

STATUS

approved

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Last modified October 27 01:02 EDT 2020. Contains 338035 sequences. (Running on oeis4.)