OFFSET
1,2
LINKS
Peter Kagey, Antidiagonals n = 1..100, flattened
FORMULA
T(n,0) = n.
T(n,2k) = n*T(n,2k-1) - T(n,k).
T(n,2k+1) = n*T(n,2k).
EXAMPLE
Table begins:
n\k | 1 2 3 4 5 6 7 8 9
----+------------------------------------------------------
1 | 1 0 0 0 0 0 0 0 0
2 | 2 2 4 6 12 20 40 74 148
3 | 3 6 18 48 144 414 1242 3678 11034
4 | 4 12 48 180 720 2832 11328 45132 180528
5 | 5 20 100 480 2400 11900 59500 297020 1485100
6 | 6 30 180 1050 6300 37620 225720 1353270 8119620
7 | 7 42 294 2016 14112 98490 689430 4823994 33767958
8 | 8 56 448 3528 28224 225344 1802752 14418488 115347904
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Peter Kagey, Mar 06 2021
STATUS
approved