|
Search: id:A099608
|
|
|
| A099608 |
|
Table of crystal ball sequences for A_n lattices read by anti-diagonals. |
|
+0
1
|
|
| 1, 1, 1, 1, 3, 1, 1, 5, 7, 1, 1, 7, 19, 13, 1, 1, 9, 37, 55, 21, 1, 1, 11, 61, 147, 131, 31, 1, 1, 13, 91, 309, 471, 271, 43, 1, 1, 15, 127, 561, 1251, 1281, 505, 57, 1, 1, 17, 169, 923, 2751, 4251, 3067, 869, 73, 1, 1, 19, 217, 1415, 5321, 11253, 12559, 6637, 1405, 91, 1
(list; table; graph; listen)
|
|
|
OFFSET
|
0,5
|
|
|
COMMENT
|
Rows (n=0..10) are A000012, A005408, A003215, A005902, A008384, A008386, A008388, A008390, A008392, A008394, A008396.
|
|
FORMULA
|
T(n, k)=hypergeom([n+1, -n, -k], [1, 1], 1).
|
|
PROGRAM
|
(PARI) T(n, k)=sum(j=0, min(n, k), binomial(n+j, j)*binomial(n, j)*binomial(k, j))
|
|
CROSSREFS
|
T(n, n)=A005258(n), T(2n, n)=A099601(n).
Sequence in context: A121522 A080842 A119258 this_sequence A047969 A047812 A129392
Adjacent sequences: A099605 A099606 A099607 this_sequence A099609 A099610 A099611
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
Michael Somos, Oct 25 2004
|
|
|
Search completed in 0.002 seconds
|
