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%I M3773 #32 Apr 13 2022 13:25:18
%S 1,5,8,10,11,12,12,13,13,13
%N Number of pair-coverings with largest block size 4.
%C The g.f. (1 + 5*z + 6*z^2 + z^3)/((z-1)*(z^2-z-1)) conjectured by _Simon Plouffe_ in his 1992 dissertation is incorrect.
%D M. J. Grannell, T. S. Griggs, K. A. S. Quinn, R. G. Stanton, A census of minimum pair-coverings with restricted largest block length, Ars Combin., 52 (1999).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%D R. G. Stanton, J. L. Allston and D. D. Cowan, Pair-coverings with restricted largest block length, Ars Combin., 11 (1981), 85-98.
%H Simon Plouffe, <a href="https://arxiv.org/abs/0911.4975">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.
%H Simon Plouffe, <a href="/A000051/a000051_2.pdf">1031 Generating Functions</a>, Appendix to Thesis, Montreal, 1992
%H R. G. Stanton, J. L. Allston and D. D. Cowan, <a href="/A006185/a006185.pdf">Pair-coverings with restricted largest block length</a>, Ars Combin., 11 (1981), 85-98. (Annotated scanned copy)
%K nonn,hard,more
%O 4,2
%A _N. J. A. Sloane_
%E a(13) from Grannell et al. added by _Sean A. Irvine_, Jan 18 2017
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