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%I #19 Apr 13 2022 13:25:18
%S 1,2,3,3,4,5,5,6,7,8,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,
%T 16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26,26,27,27,
%U 28,28,29,29,30,30,31,31,32,32,33,33,34,34,35,35,36,36,37,37,38,38,39,39,40,40
%N G.f.: (z^12+1-z^11-z^10+z^8-z^6+z^5-z^3+z)/((z+1)*(z-1)^2).
%C _Simon Plouffe_ conjectured in 1992 that this is a g.f. for A003003 - it is not.
%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 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,-1).
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_, Apr 07 2008
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