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Leech triangle: k-th number (0 <= k <= n) in n-th row (0 <= n) is number of octads in S(5,8,24) containing k given points and missing n-k given points.
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%I #14 Jan 29 2022 02:08:05

%S 759,506,253,330,176,77,210,120,56,21,130,80,40,16,5,78,52,28,12,4,1,

%T 46,32,20,8,4,0,1,30,16,16,4,4,0,0,1,30,0,16,0,4,0,0,0,1

%N Leech triangle: k-th number (0 <= k <= n) in n-th row (0 <= n) is number of octads in S(5,8,24) containing k given points and missing n-k given points.

%D F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 68.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 278.

%D Handbook of Combinatorics, North-Holland '95, p. 720.

%D CRC Handbook of Combinatorial Designs, 1996, p. 69.

%H <a href="/index/St#Steiner">Index entries for sequences related to Steiner systems</a>

%e Triangle begins:

%e 759;

%e 506, 253;

%e 330, 176, 77;

%e 210, 120, 56, 21;

%e 130, 80, 40, 16, 5;

%e ...

%K nonn,tabl,fini,full,nice

%O 0,1

%A _N. J. A. Sloane_