|
Search: id:A084781
|
|
|
| A084781 |
|
G.f. A(x) = 1 + x*(1+x+x^2)*A(x)^2. |
|
+0
1
|
|
| 1, 1, 3, 10, 35, 132, 519, 2105, 8746, 37033, 159229, 693343, 3051290, 13550083, 60642857, 273248824, 1238567263, 5643738611, 25837579578, 118785766683, 548182891007, 2538522337214, 11792272546723, 54936210525388
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
a(0)=1; for n>0, a(n)=Sum(Sum a(i)a(j-i),(i=0,..,j)),(j=n-3,..,n-1). - Mario Catalani (mario.catalani(AT)unito.it), Jun 19 2003
|
|
MATHEMATICA
|
a[n_] := a[n] = Sum[Sum[a[i] a[j - i], {i, 0, j}], {j, n - 3, n - 1}]; a[0] = 1; Table[a[n], {n, 0, 30}]
|
|
CROSSREFS
|
Sequence in context: A114196 A078789 A128736 this_sequence A008984 A097148 A129483
Adjacent sequences: A084778 A084779 A084780 this_sequence A084782 A084783 A084784
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Jun 14 2003
|
|
|
Search completed in 0.002 seconds
|
