|
| |
|
|
A124548
|
|
Secondary diagonal of rectangular table A124540: a(n) = A124540(n+1,n).
|
|
3
| |
|
|
1, 2, 15, 156, 1995, 29658, 495922, 9140344, 183201255, 3954149640, 91212812647, 2235185965152, 57899260705117, 1578806923315370, 45158965541429475, 1350797823601721136, 42141425201135893387, 1367978583480857293770
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
COMMENTS
| In table A124540, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = [ Sum_{k>=0} y^k*R_k(y)^n ]^n for n>=0.
|
|
|
FORMULA
| a(n) is divisible by (n+1): a(n)/(n+1) = A124549(n).
|
|
|
PROG
| (PARI) {a(n)=local(R); R=vector(n+2, r, vector(n+2, c, if(r==1|c<=2, 1, r^(c-2)))); for(i=0, n+1, for(r=0, n+1, R[r+1]=Vec(sum(c=0, n, x^c*Ser(R[c+1])^(r*c)+O(x^(n+2)))))); Vec(Ser(R[n+2])^(n+1)+O(x^(n+2)))[n+1]}
|
|
|
CROSSREFS
| Cf. A124540, A124549, A124547.
Sequence in context: A002103 A191364 A185756 * A139085 A204679 A140809
Adjacent sequences: A124545 A124546 A124547 * A124549 A124550 A124551
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Nov 05 2006
|
| |
|
|
