|
Search: id:A101603
|
|
|
| A101603 |
|
Riordan array (1/(1-x^2),x(1+x)/(1-x)). |
|
+0
3
|
|
| 1, 0, 1, 1, 2, 1, 0, 3, 4, 1, 1, 4, 9, 6, 1, 0, 5, 16, 19, 8, 1, 1, 6, 25, 44, 33, 10, 1, 0, 7, 36, 85, 96, 51, 12, 1, 1, 8, 49, 146, 225, 180, 73, 14, 1, 0, 9, 64, 231, 456, 501, 304, 99, 16, 1, 1, 10, 81, 344, 833, 1182, 985, 476, 129, 18, 1, 0, 11, 100, 489, 1408, 2471, 2668
(list; table; graph; listen)
|
|
|
OFFSET
|
0,5
|
|
|
COMMENT
|
Row sums are A097076(n+1). Diagonal sums are abs(A077902).
|
|
FORMULA
|
Number triangle whose columns are generated by x^k*(1+x)^(k-1)/(1-x)^(k+1)
Number triangle T(n, k)=sum{j=0..n-k, C(k-1, j)C(n-j, n-k-j)};
|
|
EXAMPLE
|
Rows start {1}, {0,1}, {1,2,1}, {0,3,4,1}, {1,4,9,6,1},...
|
|
CROSSREFS
|
Sequence in context: A108887 A095884 A128908 this_sequence A124030 A106378 A094301
Adjacent sequences: A101600 A101601 A101602 this_sequence A101604 A101605 A101606
|
|
KEYWORD
|
easy,nonn,tabl
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Dec 08 2004
|
|
|
Search completed in 0.002 seconds
|
