login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Triangle read by rows: T(n,d) is the number of inequivalent properly d-dimensional n-polysticks (or polyedges), 1 <= d <= n.
4

%I #4 Sep 09 2023 11:26:07

%S 1,1,1,1,4,2,1,15,12,3,1,54,105,39,6,1,221,863,566,117,11

%N Triangle read by rows: T(n,d) is the number of inequivalent properly d-dimensional n-polysticks (or polyedges), 1 <= d <= n.

%H <a href="/index/Pol#polyominoes">Index entries for sequences related to polyominoes</a>.

%F T(n,n) = A000055(n+1).

%e Triangle begins:

%e n\d | 1 2 3 4 5 6

%e ----+---------------------

%e 1 | 1

%e 2 | 1 1

%e 3 | 1 4 2

%e 4 | 1 15 12 3

%e 5 | 1 54 105 39 6

%e 6 | 1 221 863 566 117 11

%Y Cf. A000055, A049430, A365565 (row sums).

%K nonn,tabl,hard,more

%O 1,5

%A _Pontus von Brömssen_, Sep 09 2023