This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A383799 #29 Jun 13 2025 08:19:51
%S A383799 1,1,1,1,1,1,1,1,1,1,4,6,14,24,32,25,13,5,1,1,1,1,1,4,10,35,131,510,
%T A383799 1932,7123,24466,76829,214685,518820,1050433,1727591,2273998,2446653,
%U A383799 2212119,1709579,1143416,663450,335186,146371,55327,17767,4898,1103,226,35,7,1,1
%N A383799 Irregular triangle: T(n,k) gives the number of k-polysticks on edges of the n-cube up to rotational symmetries of the n-cube, with 0 <= k <= A001787(n).
%C A383799 Row 3 gives the number of polyforms with n cells on the faces of a rhombic dodecahedron up to rotation.
%H A383799 Wikipedia, <a href="https://en.wikipedia.org/wiki/Hypercube">Hypercube</a>
%H A383799 Wikipedia, <a href="https://en.wikipedia.org/wiki/Polystick">Polystick</a>
%F A383799 A222186(n) = Sum_{k=0..n*2^(n-1)} T(n,k) - Sum_{k=0..(n-1)*2^(n-2)} T(n-1,k) for n >= 2. - _Pontus von Brömssen_, May 12 2025
%e A383799 Table begins:
%e A383799 n\k| 0 1 2 3 4 5 6 7 8 9 10 11 12
%e A383799 ---+----------------------------------------------------------------
%e A383799 1| 1, 1;
%e A383799 2| 1, 1, 1, 1, 1;
%e A383799 3| 1, 1, 1, 4, 6, 14, 24, 32, 25, 13, 5, 1, 1;
%e A383799 4| 1, 1, 1, 4, 10, 35, 131, 510, 1932, 7123, 24466, 76829, 214685, ...
%Y A383799 Cf. A001787, A222186.
%Y A383799 Cf. A333333 (analogous with reflectional symmetries allowed).
%K A383799 nonn,tabf
%O A383799 1,11
%A A383799 _Peter Kagey_, May 10 2025
%E A383799 a(30)-a(40) from _Pontus von Brömssen_, May 14 2025
%E A383799 a(41)-a(53) from _Pontus von Brömssen_, Jun 11 2025