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Number of free polysticks with n segments on the edges of the n-cube.
0

%I #20 Jun 13 2023 20:21:48

%S 1,1,3,7,27,121,751

%N Number of free polysticks with n segments on the edges of the n-cube.

%C A free polystick is a polystick counted up to isometries of the n-cube.

%H Code Golf Stack Exchange, <a href="https://math.stackexchange.com/q/3583171/121988">Counting polysticks on the n-cube</a>.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Hypercube">Hypercube</a>.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Polystick">Polystick</a>.

%F a(n) = A333333(n,n) = A333333(n+k,n) for all k >= 0.

%Y Cf. A019988.

%K nonn,more

%O 1,3

%A _Peter Kagey_, Mar 16 2020

%E Definition corrected by _Peter Kagey_, Jun 13 2023