OFFSET
1,3
LINKS
David Pasino, Table of n, a(n) for n = 1..512
FORMULA
T(n, m) = Sum_{k=0,..n} binomial(n, k) * (-1)^(n-k) * A084546(k, m).
EXAMPLE
Triangle T(n, m) begins:
n/m 0 1 2 3 4 5 6 7 8 9 10
0 1 0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0 0 0
2 0 1 0 0 0 0 0 0 0 0 0
3 0 0 3 1 0 0 0 0 0 0 0
4 0 0 3 16 15 6 1 0 0 0 0
5 0 0 0 30 135 222 205 120 45 10 1
MATHEMATICA
Table[Sum[Binomial[n, k] (-1)^(n - k) Binomial[Binomial[k, 2], m], {k, 0, n}], {n, 7}, {m, Ceiling[n/2], Binomial[n, 2]}] /. {} -> {1} // Flatten (* Michael De Vlieger, Sep 19 2016 *)
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
David Pasino, Sep 08 2016
STATUS
approved