OFFSET
0,8
COMMENTS
Essentially analogous to Pascal's triangle, A007318.
FORMULA
T(2,1) = 1; otherwise T(n,k) = p(n)!/(p(k)!*p(n-k)!), where p(0)=1 and p(m)=prime(m) for m > 0.
EXAMPLE
First six rows:
1
1 1
1 1 1
1 10 10 1
1 21 140 21 1
1 3960 55440 55440 3960 1
...
MAPLE
p:= n-> `if`(n=0, 1, ithprime(n)):
T:= (n, k)-> floor(p(n)!/(p(k)!*p(n-k)!)):
seq(seq(T(n, k), k=0..n), n=0..10); # Alois P. Heinz, Jan 30 2023
MATHEMATICA
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Jan 30 2023
STATUS
approved