|
| |
|
|
A011847
|
|
Triangle of numbers read bt rows: T(n,k) = floor( C(n,k)/(k+1) ), k=0..n-1.
|
|
12
| |
|
|
1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 2, 1, 1, 3, 5, 5, 3, 1, 1, 3, 7, 8, 7, 3, 1, 1, 4, 9, 14, 14, 9, 4, 1, 1, 4, 12, 21, 25, 21, 12, 4, 1, 1, 5, 15, 30, 42, 42, 30, 15, 5, 1, 1, 5, 18, 41, 66, 77, 66, 41, 18, 5, 1, 1, 6, 22, 55, 99, 132, 132, 99, 55, 22, 6, 1, 1, 6, 26, 71
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,8
|
|
|
FORMULA
| The rows are palindromic: T(n, k) = T(n, n-k-1).
|
|
|
EXAMPLE
| Triangle begins:
[1]
[1, 1]
[1, 1, 1]
[1, 2, 2, 1]
[1, 2, 3, 2, 1]
[1, 3, 5, 5, 3, 1]
[1, 3, 7, 8, 7, 3, 1]
[1, 4, 9, 14, 14, 9, 4, 1]
[1, 4, 12, 21, 25, 21, 12, 4, 1]
[1, 5, 15, 30, 42, 42, 30, 15, 5, 1]
|
|
|
CROSSREFS
| Columns include A008619, A001840, A011842, A011795, A011843, A011797, A011844, A011845, A011846, A032169. Row sums are in A095718.
Sequence in context: A172281 A176298 A169623 * A091325 A193596 A143974
Adjacent sequences: A011844 A011845 A011846 * A011848 A011849 A011850
|
|
|
KEYWORD
| nonn,tabl
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
