|
| |
|
|
A032036
|
|
Shifts left 3 places under "AIJ" (ordered, indistinct, labeled) transform.
|
|
0
| |
|
|
1, 1, 1, 1, 3, 13, 75, 543, 4719, 47871, 555177, 7245015, 105069249, 1676322369, 29178875913, 550266979833, 11176051287627, 243213176948013, 5645877335588331, 139257558038636847, 3636985088689068231, 100266394939348499127, 2909740575643004791953, 88664517647380019280375
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,5
|
|
|
FORMULA
| a(n)=sum(k=0..n-4, binomial(n-3,k)*a(k+3)*a(n-k-3)), a(1)=a(2)=a(3)=1. [From Vladimir Kruchinin kru(AT)ie.tusur.ru, May 10 2011]
E.g.f. A(x) satisfies differential equation A'''(x)-A(x)*A'''(x)=1, A'(0)=1, A''(0)=1, A'''(0)=1. [From Vladimir Kruchinin, Nov 19 2011]
|
|
|
PROG
| (Maxima)
a(n):=if n=0 then 0 else if n<4 then 1 else sum(binomial(n-3, k)*a(k+3)*a(n-k-3), k, 0, n-4); [From Vladimir Kruchinin kru(AT)ie.tusur.ru, May 10 2011]
|
|
|
CROSSREFS
| Sequence in context: A173990 A034172 A000670 * A026072 A063646 A047730
Adjacent sequences: A032033 A032034 A032035 * A032037 A032038 A032039
|
|
|
KEYWORD
| nonn,eigen
|
|
|
AUTHOR
| Christian G. Bower (bowerc(AT)usa.net)
|
| |
|
|
