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%I #10 Dec 21 2022 08:19:47
%S 0,1,0,0,0,2,1,1,1,0,0,0,0,0,0,3,2,2,2,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,
%T 0,4,3,3,3,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
%U 0,0,5,4,4,4,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
%N Hypertetrahedron with T(W,X,Y,Z) = W - X.
%C Together with A127324, A127325 and A127326 might enable reading "by antidiagonals" of hypercube arrays as 4-dimensional analog of A056558, A056560 and A056559 with cubical arrays.
%F a(n) = A127321(n) - A127322(n).
%e a(23)=1 because A127321(23) - A127322(23) = 1.
%e Table of A127324, A127325, A127326, A127327:
%e n w,x,y,z
%e 0 0,0,0,0
%e 1 0,0,0,1
%e 2 0,0,1,0
%e 3 0,1,0,0
%e 4 1,0,0,0
%e 5 0,0,0,2
%e 6 0,0,1,1
%e 7 0,1,0,1
%e 8 1,0,0,1
%e 9 0,0,2,0
%e 10 0,1,1,0
%e 11 1,0,1,0
%e 12 0,2,0,0
%e 13 1,1,0,0
%e 14 2,0,0,0
%e 15 0,0,0,3
%e 16 0,0,1,2
%e 17 0,1,0,2
%e 18 1,0,0,2
%e 19 0,0,2,1
%e 20 0,1,1,1
%e 21 1,0,1,1
%e 22 0,2,0,1
%e 23 1,1,0,1
%Y Cf. A127321, A127322, A127323, A127324, A127325, A127326.
%Y Cf. A056558, A056560, A056559.
%K nonn
%O 0,6
%A _Graeme McRae_, Jan 10 2007
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