|
|
A171567
|
|
Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A168491.
|
|
3
|
|
|
1, -1, 1, 2, -2, 1, -5, 5, -3, 1, 14, -14, 9, -4, 1, -42, 42, -28, 14, -5, 1, 132, -132, 90, -48, 20, -6, 1, -429, 429, -297, 165, -75, 27, -7, 1, 1430, -1430, 1001, -572, 275, -110, 35, -8, 1, -4862, 4862, -3432, 2002, -1001, 429, -154, 44, -9, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,4
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
T(n,k) = (-1)^(n-k)*(k+1)*binomial(2n-k, n-k)/(n+1), 0<=k<=n; else 0.
T(n,k) = T(n-1,k-1) - T(n-1,k) + sum_{i, i>=0} T(n-1,k+1+i)*(-1)^i. - Philippe Deléham, Feb 23 2012
|
|
EXAMPLE
|
Triangle begins : 1 ; -1,1 ; 2,-2,1 ; -5,5,-3,1 ; 14,-14,9,-4,1 ;...
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|