|
| |
|
|
A104710
|
|
Triangle read by rows: reversed partial sums of Narayana triangle rows.
|
|
1
|
|
|
|
1, 2, 1, 5, 4, 1, 14, 13, 7, 1, 42, 41, 31, 11, 1, 132, 131, 116, 66, 16, 1, 429, 428, 407, 302, 127, 22, 1, 1430, 1429, 1401, 1205, 715, 225, 29, 1, 4862, 4861, 4825, 4489, 3313, 1549, 373, 37, 1, 16796, 16795, 16750, 16210, 13690, 8398, 3106, 586, 46, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
COMMENTS
|
The first column is A000108, the Catalan numbers.
If triangles are viewed as lower triangular matrices, then this triangle is A*B where A is the Narayana triangle A001263 and B is the triangle filled with ones.
|
|
|
LINKS
|
Table of n, a(n) for n=1..55.
|
|
|
FORMULA
|
For 1 <= k <= n, T(n, k) = Sum_{i=k..n} A001263(n, i).
|
|
|
CROSSREFS
|
Cf. A000108, A001263.
Sequence in context: A201165 A171488 A171651 * A039598 A128738 A193673
Adjacent sequences: A104707 A104708 A104709 * A104711 A104712 A104713
|
|
|
KEYWORD
|
nonn,tabl,easy
|
|
|
AUTHOR
|
Gary W. Adamson, Mar 19 2005
|
|
|
EXTENSIONS
|
Edited and extended by David Wasserman, Nov 02 2005
|
|
|
STATUS
|
approved
|
| |
|
|
