OFFSET
0,4
LINKS
David Ellerman, The number of direct-sum decompositions of a finite vector space, arXiv:1603.07619 [math.CO], 2016.
Wikipedia, Orderings of partitions
FORMULA
EXAMPLE
Triangle begins:
1;
1;
1, 3;
1, 28, 28;
1, 120, 280, 1680, 840;
1, 496, 9920, 29760, 138880, 277760, 83328;
...
MATHEMATICA
dsd2[n_, signature_] := Product[2^n - 2^i, {i, 0, n - 1}]/ Product[Product[2^k - 2^i, {i, 0, k - 1}]^signature[[k]]*signature[[k]]!, {k, 1, n}]; Table[Map[dsd2[n, #] &, Map[Table[Count[#, i], {i, 1, n}] &, IntegerPartitions[n]]], {n, 0, 6}] // Grid
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Geoffrey Critzer, Nov 01 2022
STATUS
approved