A107090 -id:A107090 - cp's OEIS frontend

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

Paul D. Hanna, May 11 2005

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

			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 -+...

Cf. A107090, A107091.

{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)}

A107091 G.f. A(x) satisfies: A(x) = A(x^3)^(1/3) + 9*x.

Original entry on oeis.org

1, 9, 0, 3, 0, 0, -9, 0, 0, 46, 0, 0, -276, 0, 0, 1827, 0, 0, -12838, 0, 0, 93885, 0, 0, -706878, 0, 0, 5440856, 0, 0, -42608139, 0, 0, 338345586, 0, 0, -2717685006, 0, 0, 22039352340, 0, 0, -180191062062, 0, 0, 1483568585389, 0, 0, -12289222187157, 0, 0, 102343255814052, 0, 0, -856335797389803, 0, 0

Offset: 0

Paul D. Hanna, May 11 2005

sign

Self-convolution 9th power of A107089. Self-convolution cube of A107090.

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

Cf. A107089, A107090.

{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^9,n,x)}

cp's OEIS Frontend

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

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