OFFSET
2,1
LINKS
Vladislav Taranchuk, On the number of k-gons in finite projective planes, (2020).
FORMULA
T(n, k) = k!*binomial(k - 1, 2)*binomial(n^2 + n + 1, k - 1)*(n - 1).
EXAMPLE
n\k | 3 4 5 6
----+-------------------------------------
2 | 126 2520 25200 151200 ...
3 | 936 41184 1029600 18532800 ...
4 | 3780 287280 12927600 439538400 ...
5 | 11160 1294560 90619200 4893436800 ...
...
MATHEMATICA
T[n_, k_]:=k!Binomial[k-1, 2]Binomial[n^2+n+1, k-1](n-1); Table[T[n-k+3, k], {n, 2, 9}, {k, 3, n+1}]//Flatten
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Stefano Spezia, Mar 08 2021
STATUS
approved