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%I M0291 N0104 #48 Feb 27 2024 09:53:24
%S 1,1,1,2,2,3,5,6,9,13,14,15,20,20,22,25,30,31,37,40,42,50,52,54,63,65,
%T 67,76,80,82,92,96,99,111,114,117,130,133,136,149,154,157,171,176,180,
%U 196,200,204,221,225,229,246,252,256,274,280,285,305,310,315,336
%N The coding-theoretic function A(n,6,4).
%C Packing number D(n,4,2). Maximum number of edge-disjoint K_4's in a K_n. - _Rob Pratt_, Feb 26 2024
%D CRC Handbook of Combinatorial Designs, 1996, p. 411.
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A. E. Brouwer, <a href="http://www.win.tue.nl/~aeb/codes/Andw.html">Bounds for binary constant weight codes</a>
%H A. E. Brouwer, <a href="https://doi.org/10.1016/0097-3165(79)90105-5">Optimal packings of K_4's into a K_n</a>, J. Combin. Theory, A 26 (1979), 278-297.
%H A. E. Brouwer, A. Schrijver, and H. Hanani, <a href="https://doi.org/10.1016/0012-365X(77)90037-1">Group divisible designs with block-size four</a>, Discrete Math. 20 (1977/78), no. 1, 1-10.
%H A. E. Brouwer, J. B. Shearer, N. J. A. Sloane and W. D. Smith, <a href="http://dx.doi.org/10.1109/18.59932">New table of constant weight codes</a>, IEEE Trans. Info. Theory 36 (1990), 1334-1380.
%H Richard K. Guy, <a href="/A001197/a001197.pdf">A problem of Zarankiewicz</a>, Research Paper No. 12, Department of Mathematics, University of Calgary, January 1967. [Annotated and scanned copy, with permission]
%H Sascha Kurz, <a href="http://arxiv.org/abs/2112.12716">Plane point sets with many squares or isosceles right triangles</a>, arXiv:2112.12716 [math.CO], 2021.
%H Alice Miller and Michael Codish, <a href="https://arxiv.org/abs/1708.06576">Graphs with girth at least 5 with orders between 20 and 32</a>, arXiv:1708.06576 [math.CO], 2017, Table 3.
%H <a href="/index/Aa#Andw">Index entries for sequences related to A(n,d,w)</a>
%K nonn
%O 4,4
%A _N. J. A. Sloane_
%E Offset corrected by _Zhao Hui Du_, Aug 14 2008
%E Offset 4 and a(4) inserted by _Jeremy Tan_, Feb 16 2022
%E a(56)-a(64) from _Rob Pratt_, Feb 27 2024