|
| |
| |
|
|
|
1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 8, 12, 8, 1, 1, 5, 20, 20, 5, 1, 1, 36, 90, 240, 240, 90, 36, 1, 1, 7, 126, 210, 210, 126, 7, 1, 1, 64, 224, 2688, 1680, 2688, 224, 64, 1, 1, 27, 864, 2016, 9072, 9072, 2016, 864, 27, 1, 1, 100, 1350, 28800, 25200, 181440, 25200, 28800, 1350
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,5
|
|
|
COMMENTS
| It appears that the T(n,k) are always integers. This would follow from the conjectured prime factorization given in the comments section of A092143.
|
|
|
FORMULA
| T(n,k) = product_{j=1..n} floor(n/j)!/((product_{j=1..n-k} floor((n-k)/j)!)*(product_{j=1..k} floor(k/j)!)).
|
|
|
EXAMPLE
| Triangle starts
1
1 1
1 2 1
1 3 3 1
1 8 12 8 1
1 5 20 20 5 1
|
|
|
CROSSREFS
| Second column T(n, 1) is A007955, A092143.
Sequence in context: A181039 A124975 A171246 * A176469 A141542 A129453
Adjacent sequences: A129436 A129437 A129438 * A129440 A129441 A129442
|
|
|
KEYWORD
| easy,nonn,tabl
|
|
|
AUTHOR
| Peter Bala (pbala(AT)toucansurf.com), Apr 15 2007
|
| |
|
|
