|
Search: id:A107090
|
|
|
| A107090 |
|
G.f. A(x) satisfies: A(x)^3 = A(x^3) + 9*x. |
|
+0
3
|
|
| 1, 3, -9, 46, -276, 1827, -12838, 93885, -706878, 5440856, -42608139, 338345586, -2717685006, 22039352340, -180191062062, 1483568585389, -12289222187157, 102343255814052, -856335797389803, 7195400130323322, -60687964204960104, 513600833339124915
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Self-convolution cube of A107089. Self-convolution cube yields A107091.
|
|
EXAMPLE
|
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 -+...
|
|
PROGRAM
|
(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)}
|
|
CROSSREFS
|
Cf. A107089, A107091.
Sequence in context: A013492 A106341 A065407 this_sequence A018445 A129432 A111551
Adjacent sequences: A107087 A107088 A107089 this_sequence A107091 A107092 A107093
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), May 11 2005
|
|
|
Search completed in 0.002 seconds
|
