|
| |
|
|
A124860
|
|
A Jacobsthal-Pascal triangle.
|
|
3
| |
|
|
1, 1, 1, 3, 6, 3, 5, 15, 15, 5, 11, 44, 66, 44, 11, 21, 105, 210, 210, 105, 21, 43, 258, 645, 860, 645, 258, 43, 85, 595, 1785, 2975, 2975, 1785, 595, 85, 171, 1368, 4788, 9576, 11970, 9576, 4788, 1368, 171, 341, 3069, 12276, 28644
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,4
|
|
|
COMMENTS
| Row sums are A003683(n+1). Diagonal sums are A124861. Central coefficients are A124862.
Triangle T(n,k) read by rows given by [1, 2, -2, 0, 0, 0, ...] DELTA [1, 2, -2, 0, 0, 0, ...] where DELTA is the operator defined in A084938 . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 11 2006
|
|
|
FORMULA
| G.f.: 1/(1-x(1+y)-2x^2(1+y)^2); Number triangle T(n,k)=J(n+1)*C(n,k), J(n)=A001045(n);
T(n,k)=T(n-1,k-1)+T(n-1,k)+2*T(n-2,k-2)+4*T(n-2,k-1)+2*T(n-2,k), T(0,0)=1, T(n,k)=0 if k<0 or if k>n . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 11 2006
|
|
|
EXAMPLE
| Triangle begins
1,
1, 1,
3, 6, 3,
5, 15, 15, 5,
11, 44, 66, 44, 11,
21, 105, 210, 210, 105, 21,
43, 258, 645, 860, 645, 258, 43
|
|
|
CROSSREFS
| Cf. A016095.
Sequence in context: A199951 A134548 A151865 * A038138 A010704 A170859
Adjacent sequences: A124857 A124858 A124859 * A124861 A124862 A124863
|
|
|
KEYWORD
| easy,nonn,tabl
|
|
|
AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Nov 10 2006
|
| |
|
|
