|
Search: id:A121574
|
|
|
| A121574 |
|
Riordan array (1/(1-2x), x(1+x)/(1-2x)). |
|
+0
2
|
|
| 1, 2, 1, 4, 5, 1, 8, 16, 8, 1, 16, 44, 37, 11, 1, 32, 112, 134, 67, 14, 1, 64, 272, 424, 305, 106, 17, 1, 128, 640, 1232, 1168, 584, 154, 20, 1, 256, 1472, 3376, 3992, 2641, 998, 211, 23, 1, 512, 3328, 8864, 12592, 10442, 5221, 1574, 277, 26, 1, 1024, 7424, 22528
(list; table; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Row sums are A006190(n+1); diagonal sums are A077939. Inverse is A121575. A generalized Delannoy number triangle.
|
|
FORMULA
|
Number array T(n,k)=sum{j=0..n-k, C(k,j)C(n-j,k)2^(n-k-j)}
|
|
EXAMPLE
|
Triangle begins
1,
2,1,
4,5,1,
8,16,8,1,
16,44,37,11,1,
32,112,134,67,14,1,
64,272,424,305,106,17,1
|
|
CROSSREFS
|
Sequence in context: A134248 A080935 A102661 this_sequence A117317 A124237 A123876
Adjacent sequences: A121571 A121572 A121573 this_sequence A121575 A121576 A121577
|
|
KEYWORD
|
easy,nonn,tabl
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Aug 08 2006
|
|
|
Search completed in 0.002 seconds
|
