A120591 Self-convolution cube of A120590, such that a(n) = 4*A120590(n) for n>=2.

1, 3, 12, 76, 600, 5304, 50232, 498360, 5112756, 53796820, 577370508, 6295961100, 69557631936, 776913430272, 8758443555360, 99527014659360, 1138832618425272, 13110313153525272, 151738042878341400, 1764609260161776600

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Example

A(x) = 1 + 3*x + 12*x^2 + 76*x^3 + 600*x^4 + 5304*x^5 + 50232*x^6 +...
A(x)^(1/3) = 1 + x + 3*x^2 + 19*x^3 + 150*x^4 + 1326*x^5 + 12558*x^6 +...

Prog

(PARI) {a(n)=local(A=1+x+3*x^2+x*O(x^n)); for(i=0, n, A=A-4*A+3+x+A^3); polcoeff(A^3, n)}

Crossrefs

Cf. A120590 (A(x)^(1/3)); A120588, A120592 - A120607.

Sequence in context: A247330 A168366 A134524 * A247057 A032114 A193162

Adjacent sequences: A120588 A120589 A120590 * A120592 A120593 A120594

Keyword

nonn

Author

Paul D. Hanna, Jun 16 2006

Status

approved