OFFSET
0,4
COMMENTS
A 1(0) block is such that every entry in the block is 1(0).
Conjecture: lim_{n -> oo} T(n,k)/T(n,n-k) = 1.
LINKS
D. A. Gregory, S. Kirkland, and N. J. Pullman, Power convergent Boolean matrices, Linear Algebra and its Applications, Volume 179, 15 January 1993, Pages 105-117.
FORMULA
EXAMPLE
Triangle begins ...
1;
1, 1;
3, 7, 3;
25, 85, 84, 25;
543, 2335, 3579, 2322, 543;
29281, 152101, 310020, 309725, 151835, 29281;
3781503, 23139487, 58538763, 78349050, 58514700, 23128233, 3781503;
...
MATHEMATICA
nn = 6; B[n_] := 2^Binomial[n, 2] n!; dags=Select[Import["https://oeis.org/A003024/b003024.txt", "Table"],
Length@# == 2 &][[All, 2]]; d[x_] := Total[dags Table[x^i/i!, {i, 0, 40}]];
Map[Select[#, # > 0 &] &, Table[n!, {n, 0, nn}] CoefficientList[
Series[d[y (Exp[x] - 1) + x], {x, 0, nn}], {x, y}]] // Grid
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Geoffrey Critzer, Sep 30 2023
STATUS
approved