OFFSET
2,1
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,2}(x) in Table 1 p. 291).
EXAMPLE
Triangle begins:
2;
4, 2;
14, 8, 2;
64, 42, 12, 2;
362, 256, 84, 16, 2;
...
MATHEMATICA
Table[Sum[(-1)^(t - k) (n - t)!*Binomial[t, k] Binomial[n - 2, t], {t, k, n - 2}], {n, 2, 11}, {k, 0, n - 2}] // Flatten (* Michael De Vlieger, Nov 01 2015 *)
PROG
(PARI) tabl(nn) = {for (n=2, 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