OFFSET
1,2
LINKS
Geoffrey Critzer, Combinatorics of Vector Spaces over Finite Fields, Master's thesis, Emporia State University, 2018.
David Ellerman, The number of direct-sum decompositions of a finite vector space, arXiv:1603.07619 [math.CO], 2016.
EXAMPLE
Triangle begins:
1;
3, 1;
28, 28, 1;
840, 1960, 120, 1;
83328, 416640, 39680, 496, 1;
...
MATHEMATICA
nn = 7; \[Gamma][n_] := (q - 1)^n q^Binomial[n, 2] FunctionExpand[ QFactorial[n, q]] /. q -> 2; Grid[Map[Select[#, # > 0 &] &,
Drop[Transpose[Table[Table[\[Gamma][n], {n, 0, nn}] CoefficientList[Series[Exp[Sum[z^i/\[Gamma][i], {i, 1, k + 1}]] -
Exp[Sum[z^i/\[Gamma][i], {i, 1, k}]], {z, 0, nn}], z], {k, 0, 4}]], 1]]]
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Geoffrey Critzer, Jan 18 2018
STATUS
approved