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
1
3, 4,
28, 56, 57,
840, 2800, 2920, 2921,
83328, 499968, 539648, 540144, 540145,
MATHEMATICA
nn = 7; \[Gamma][n_] := (q - 1)^n q^Binomial[n, 2] FunctionExpand[QFactorial[n, q]] /. q -> 2; Flatten[Table[Table[Transpose[
Map[Drop[#, 1] &, Table[Table[\[Gamma][n], {n, 0, nn}] CoefficientList[Series[Exp[Sum[z^i/\[Gamma][i], {i, 1, k}]], {z, 0, nn}], z], {k, 1, nn}]]][[j, k]], {k, 1, j}], {j, 1, nn}]]
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Geoffrey Critzer, Jan 21 2018
STATUS
approved