|
Search: id:A123254
|
|
|
| A123254 |
|
Triangle T(n,k), 0<=k<=n, read by rows given by [ -1,1,-1,1,-1,1,-1,1,-1,1,...] DELTA [1,-1,1,-1,1,-1,1,-1,1,-1,...] where DELTA is the operator defined in A084938. |
|
+0
1
|
|
| 1, -1, 1, 0, 0, 0, 1, -3, 3, -1, 0, 0, 0, 0, 0, -2, 10, -20, 20, -10, 2, 0, 0, 0, 0, 0, 0, 0, 5, -35, 105, -175, 175, -105, 35, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 126, -504, 1176, -1764, 1764, -1176, 504, -126, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
(list; table; graph; listen)
|
|
|
OFFSET
|
0,8
|
|
|
FORMULA
|
T(n,k)=(-1)^k*A105523(n)*binomial(n,k) . T(n,n)=A090192(n) . Sum_{k, 0<=k<=n}T(n,k)= 0^n= A000007(n).
|
|
EXAMPLE
|
Triangle begins:
1;
-1, 1;
0, 0, 0;
1, -3, 3, -1;
0, 0, 0, 0, 0;
-2, 10, -20, 20, -10, 2;
0, 0, 0, 0, 0, 0, 0;
5, -35, 105, -175, 175, -106, 35, -5;
0, 0, 0, 0, 0, 0, 0, 0, 0;
|
|
CROSSREFS
|
Cf. A000108, A007318.
Sequence in context: A119537 A031438 A096964 this_sequence A119969 A051343 A131193
Adjacent sequences: A123251 A123252 A123253 this_sequence A123255 A123256 A123257
|
|
KEYWORD
|
sign,tabl
|
|
AUTHOR
|
Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 08 2006
|
|
|
Search completed in 0.002 seconds
|
