A107089 G.f. A(x) satisfies: A(x)^9 = A(x^3)^3 + 9*x.

1, 1, -4, 23, -150, 1054, -7761, 58998, -459085, 3636389, -29209558, 237295537, -1945823646, 16081045446, -133787515943, 1119454523221, -9413778489629, 79510460561765, -674169212593940, 5736078315701995, -48956250060321142, 419002149097227663

Offset

0,3

Comments

Self-convolution cube is A107090. Self-convolution 9th power is A107091.

Links

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

Example

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

Prog

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

Crossrefs

Cf. A107090, A107091.

Sequence in context: A146964 A194006 A116881 * A350480 A193113 A192730

Adjacent sequences: A107086 A107087 A107088 * A107090 A107091 A107092

Keyword

sign

Author

Paul D. Hanna, May 11 2005

Status

approved