OFFSET
1,7
EXAMPLE
Triangle begins:
1;
1, 1;
1, 1,
1, 2, 2, 1;
1, 2, 2, 1;
1, 3, 4, 2;
1, 3, 5, 5, 3, 1;
1, 4, 9, 13, 13, 9, 4, 1;
1, 4, 9, 13, 13, 9, 4, 1;
1, 5, 14, 25, 30, 24, 12, 3;
1, 5, 15, 30, 42, 42, 30, 15, 5, 1;
1, 6, 21, 48, 75, 81, 60, 30, 10, 2;
MATHEMATICA
eptrees[n_]:=Prepend[Join@@Table[Tuples[eptrees/@y], {y, Rest[IntegerPartitions[n]]}], n];
eptrans[a_][n_]:=Sum[(-1)^Count[tree, _List, {0, Infinity}]*Product[a[i], {i, Flatten[{tree}]}], {tree, eptrees[n]}];
Table[DeleteCases[CoefficientList[-eptrans[-t&][n], t], 0], {n, 12}]
CROSSREFS
KEYWORD
tabf,nonn
AUTHOR
Gus Wiseman, Jul 24 2017
STATUS
approved