OFFSET
3,1
LINKS
J. Liese, J. Remmel, Q-analogues of the number of permutations with k-excedances, PU. M. A. Vol. 21 (2010), No. 2, pp. 285-320 (see E_{n,3}(x) in Table 1 p. 291).
EXAMPLE
Triangle begins:
6;
18, 6;
78, 36, 6;
426, 234, 54, 6;
2790, 1704, 468, 72, 6;
MATHEMATICA
Table[Sum[(-1)^(t - k) (n - t)!*Binomial[t, k] Binomial[n - 3, t], {t, k, n - 3}], {n, 3, 11}, {k, 0, n - 3}] // Flatten (* Michael De Vlieger, Nov 01 2015 *)
PROG
(PARI) tabl(nn) = {for (n=3, nn, for (k=0, n-2, print1(sum(t=k, n-2, (-1)^(t-k)*(n-t)!*binomial(t, k)*binomial(n-2, t)), ", "); ); print(); ); }
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Michel Marcus, Nov 01 2015
STATUS
approved