|
Search: id:A127543
|
|
|
| A127543 |
|
Triangle T(n,k),0<=k<=n, read by rows given by :[ -1,1,1,1,1,1,1,...] DELTA [1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938. |
|
+0
4
|
|
| 1, -1, 1, 0, -1, 1, -1, 1, -1, 1, -2, 0, 2, -1, 1, -6, 2, 1, 3, -1, 1, -18, 5, 7, 2, 4, -1, 1, -57, 17, 19, 13, 3, 5, -1, 1, -186, 56, 64, 36, 20, 4, 6, -1, 1, -622, 190, 212, 124, 56, 28, 5, 7, -1, 1, -2120, 654, 722, 416, 198, 79, 37, 6, 8, -1, 1, -7338, 2282, 2494, 1434, 673, 287, 105, 47, 7, 9, -1, 1
(list; table; graph; listen)
|
|
|
OFFSET
|
0,11
|
|
|
COMMENT
|
A Riordan array.
|
|
FORMULA
|
T(n,k)=A065600(n-1,k-1)-A065600(n-1,k). Sum_{k, 0<=k<=n}T(n,k)*x^k = A127053(n), A126985(n), A127016(n), A127017(n), A126987(n), A126986(n), A126982(n), A126984(n), A126983(n), A000007(n), A000108(n), A000984(n), A0007854(n), A076035(n), A076036(n), A127628(n), A126694(n), A115970(n) for n= -8,-7,...,8,9 respectively. Sum_{j,j>=0}T(n,j)*A007318(j,k)=A106566(n,k) . Sum_{j,j>=0}T(n,j)*A038207(j,k)=A039599(n,k) . Sum_{j,j>=0}T(n,j)*A027465(j,k)=A116395(n,k).
|
|
EXAMPLE
|
Triangle begins:
1;
-1, 1;
0, -1, 1;
-1, 1, -1, 1;
-2, 0, 2, -1, 1;
-6, 2, 1, 3, -1, 1;
-18, 5, 7, 2, 4, -1, 1;
-57, 17, 19, 13, 3, 5, -1, 1;...
|
|
CROSSREFS
|
Sequence in context: A112467 A112466 A166348 this_sequence A068907 A033687 A133457
Adjacent sequences: A127540 A127541 A127542 this_sequence A127544 A127545 A127546
|
|
KEYWORD
|
sign,tabl
|
|
AUTHOR
|
Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Apr 01 2007
|
|
|
Search completed in 0.003 seconds
|
