A107093 G.f. A(x) satisfies: A(x) = A(x^3)^(1/3) + 3*x.

1, 3, 0, 1, 0, 0, -1, 0, 0, 2, 0, 0, -4, 0, 0, 9, 0, 0, -22, 0, 0, 55, 0, 0, -142, 0, 0, 376, 0, 0, -1011, 0, 0, 2758, 0, 0, -7614, 0, 0, 21220, 0, 0, -59630, 0, 0, 168759, 0, 0, -480533, 0, 0, 1375676, 0, 0, -3957075, 0, 0, 11430582, 0, 0, -33144264, 0, 0, 96434321, 0, 0, -281447954, 0, 0, 823734157, 0, 0, -2417092933, 0, 0

Offset

0,2

Comments

Self-convolution cube of A107092.

Links

Table of n, a(n) for n=0..74.

Example

A(x) = 1 + 3*x + x^3 - x^6 + 2*x^9 - 4*x^12 + 9*x^15 - 22*x^18 +...
A(x^3)^(1/3) = 1 + x^3 - x^6 + 2*x^9 - 4*x^12 + 9*x^15 - 22*x^18 +...

Prog

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

Crossrefs

Cf. A107092.

Sequence in context: A098018 A260073 A196306 * A051830 A356098 A106216

Adjacent sequences: A107090 A107091 A107092 * A107094 A107095 A107096

Keyword

sign

Author

Paul D. Hanna, May 11 2005

Status

approved