login
Hypertetrahedron with T(W,X,Y,Z) = W - X.
4

%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