|
Search: id:A067802
|
|
|
| A067802 |
|
Triangle with T(n,k)=C(2n+1,n-k)^2*(2k+1)/(2n+1). |
|
+0
1
|
|
| 1, 3, 1, 20, 15, 1, 175, 189, 35, 1, 1764, 2352, 720, 63, 1, 19404, 29700, 12375, 1925, 99, 1, 226512, 382239, 196625, 44044, 4212, 143, 1, 2760615, 5010005, 3006003, 869505, 124215, 8085, 195, 1, 34763300, 66745536, 45048640, 15767024, 2998800
(list; table; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
FORMULA
|
a(n) =A034869(2n+1, k)*A039599(n, k). Row sums are C(2n, n)^2=A002894(n).
|
|
EXAMPLE
|
Rows are: 1; 3,1; 20,15,1; 175,189,35,1; etc. T(3,1)=C(7,2)^2*3/7=21^2*3/7=189.
|
|
CROSSREFS
|
First column is A000891.
Adjacent sequences: A067799 A067800 A067801 this_sequence A067803 A067804 A067805
Sequence in context: A002380 A073676 A038455 this_sequence A030042 A045496 A024432
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
Henry Bottomley (se16(AT)btinternet.com), Feb 07 2002
|
|
|
Search completed in 0.002 seconds
|
