OFFSET
1,5
LINKS
Peter Kagey, Antidiagonals n = 1..100, flattened
FORMULA
T(n,1) = 0.
T(n,2k) = n*T(n,2k-1) + n^k - T(n,k).
T(n,2k+1) = n*T(n,2k) + n^(k+1) - T(n,k+1).
EXAMPLE
Table begins:
n\k | 1 2 3 4 5 6 7 8
----+------------------------------------------------
1 | 0 1 1 1 1 1 1 1
2 | 0 2 6 14 30 62 126 254
3 | 0 3 15 51 165 507 1551 4683
4 | 0 4 28 124 532 2164 8788 35284
5 | 0 5 45 245 1305 6605 33405 167405
6 | 0 6 66 426 2706 16386 99186 595986
7 | 0 7 91 679 5005 35287 248731 1742839
8 | 0 8 120 1016 8520 68552 551496 4415048
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Peter Kagey, Mar 06 2021
STATUS
approved