|
Search: id:A116155
|
|
|
| A116155 |
|
Triangle T(n,k) defined by : T(0,0)=1, T(n,k)=0 if k<0 or if k>n, T(n,k)=T(n-1,k-1)+k*T(n-1,k)+Sum_{j, j>=1}T(n-1,k+j} . |
|
+0
1
|
|
| 1, 0, 1, 1, 1, 1, 2, 3, 3, 1, 7, 9, 10, 6, 1, 26, 33, 36, 29, 10, 1, 109, 135, 145, 134, 70, 15, 1, 500, 609, 645, 633, 430, 146, 21, 1, 2485, 2985, 3130, 3142, 2521, 1182, 273, 28, 1, 13262, 15747, 15392, 16561, 14710, 8733, 2849, 470, 36, 1
(list; table; graph; listen)
|
|
|
OFFSET
|
0,7
|
|
|
FORMULA
|
Sum_{k, 0<=k<=n}T(n,k)=T(n+1,1)=A098742(n+2).
|
|
EXAMPLE
|
Triangle begins:
1;
0, 1;
1, 1, 1;
2, 3, 3, 1;
7, 9, 10, 6, 1;
26, 33, 36, 29, 10, 1;
109, 135, 145, 134, 70, 15, 1;
500, 609, 645, 633, 430, 146, 21, 1;
2485, 2985, 3130, 3142, 2521, 1182, 273, 28, 1;
13262, 15747, 16392, 16561, 14710, 8733, 2849, 470, 36, 1 ;...
|
|
CROSSREFS
|
Sequence in context: A076239 A019798 A120653 this_sequence A144149 A097005 A068008
Adjacent sequences: A116152 A116153 A116154 this_sequence A116156 A116157 A116158
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Apr 15 2007
|
|
|
Search completed in 0.002 seconds
|
