|
Search: id:A110517
|
|
|
| A110517 |
|
Riordan array (1,x(1-3x)). |
|
+0
6
|
|
| 1, 0, 1, 0, -3, 1, 0, 0, -6, 1, 0, 0, 9, -9, 1, 0, 0, 0, 27, -12, 1, 0, 0, 0, -27, 54, -15, 1, 0, 0, 0, 0, -108, 90, -18, 1, 0, 0, 0, 0, 81, -270, 135, -21, 1, 0, 0, 0, 0, 0, 405, -540, 189, -24, 1, 0, 0, 0, 0, 0, -243, 1215, -945, 252, -27, 1, 0, 0, 0, 0, 0, 0, -1458, 2835, -1512, 324, -30, 1, 0, 0, 0, 0, 0, 0, 729, -5103, 5670, -2268, 405
(list; table; graph; listen)
|
|
|
OFFSET
|
0,5
|
|
|
COMMENT
|
Inverse is Riordan array (1,xc(3x)) [A110518]. Row sums are A106852. Diagonal sums are A106855.
Modulo 2, this sequence becomes A106344 . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 19 2008]
|
|
FORMULA
|
Number triangle T(n, k)=(-3)^(n-k)*binomial(k, n-k)
T(n,k)=A109466(n,k)*3^(n-k). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 26 2008]
|
|
EXAMPLE
|
Rows begin
1;
0,1;
0,-3,1;
0,0,-6,1;
0,0,9,-9,1;
0,0,0,27,-12,1;
0,0,0,-27,54,-15,1;
|
|
CROSSREFS
|
Sequence in context: A058865 A115090 A112295 this_sequence A091925 A034370 A144402
Adjacent sequences: A110514 A110515 A110516 this_sequence A110518 A110519 A110520
|
|
KEYWORD
|
easy,sign,tabl
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Jul 24 2005
|
|
|
Search completed in 0.002 seconds
|
