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%I M1019 #25 Apr 13 2022 13:25:17
%S 1,2,4,6,11,18,32,52,88,142,236,382,629,1018,1664,2692,4383,7092,
%T 11520,18640,30232,48916,79264,128252,207705,336074,544084
%N Number of Twopins positions.
%D R. K. Guy, ``Anyone for Twopins?,'' in D. A. Klarner, editor, The Mathematical Gardner. Prindle, Weber and Schmidt, Boston, 1981, pp. 2-15.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H R. K. Guy, <a href="/A005251/a005251_1.pdf">Anyone for Twopins?</a>, in D. A. Klarner, editor, The Mathematical Gardner. Prindle, Weber and Schmidt, Boston, 1981, pp. 2-15. [Annotated scanned copy, with permission]
%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_08">Index entries for linear recurrences with constant coefficients</a>, signature (2,0,-2,3,-2,0,0,-1).
%F G.f.: x^6/( (x^2+x-1)*(x^2-x+1)*(x^4+x^2-1) ). - _Ralf Stephan_, Apr 21 2004
%p A005684:=1/(z**2-z+1)/(z**2+z-1)/(z**4+z**2-1); [_Simon Plouffe_ in his 1992 dissertation.]
%K nonn
%O 6,2
%A _N. J. A. Sloane_.
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