A107090 G.f. A(x) satisfies: A(x)^3 = A(x^3) + 9*x.

1, 3, -9, 46, -276, 1827, -12838, 93885, -706878, 5440856, -42608139, 338345586, -2717685006, 22039352340, -180191062062, 1483568585389, -12289222187157, 102343255814052, -856335797389803, 7195400130323322, -60687964204960104, 513600833339124915

Offset: 0

Author

Paul D. Hanna, May 11 2005

Keywords

• sign

Comments

Self-convolution cube of A107089. Self-convolution cube yields A107091.

Examples

			A(x)^3 = 1 + 9*x + 3*x^3 - 9*x^6 + 46*x^9 - 276*x^12 + 1827*x^15 -+...
A(x^3) = 1 + 3*x^3 - 9*x^6 + 46*x^9 - 276*x^12 + 1827*x^15 -+...
		

Crossrefs

Cf. A107089, A107091.

Programs

PARI

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