OFFSET
0,5
COMMENTS
LINKS
I. V. Statsenko, Functional twin of triangle A269939, Innovation science No 1-2, State Ufa, Aeterna Publishing House, 2024, pp. 15-19. In Russian.
FORMULA
T(n,k) = binomial(n+1,k+1)*Stirling2(n+k,k).
EXAMPLE
n\k 0 1 2 3 4 5
0: 1
1: 0 1
2: 0 3 7
3: 0 6 60 90
4: 0 10 310 1505 1701
5: 0 15 1260 14490 46620 42525
MAPLE
T:=(n, k)->((n+1)!/((k+1)!*(n-k)!))*Stirling2(n+k, k):seq(seq T(n, k), k=0..n), n=0..10);
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Igor Victorovich Statsenko, Jan 22 2024
STATUS
approved