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%I #9 Feb 14 2018 03:19:44
%S 1,6,6,30,18,78,38,150,66,246,102,366,146,510,198,678,258,870,326,
%T 1086,402,1326,486,1590,578,1878,678,2190,786,2526,902,2886,1026,3270,
%U 1158,3678,1298,4110,1446,4566,1602,5046,1766,5550,1938,6078,2118,6630,2306
%N Coordination sequence for ReO_3 net with respect to Re atom.
%D Jean-Guillaume Eon (jgeon(AT)iq.ufrj.br), personal communication, Jan 05, 2002.
%H Jean-Guillaume Eon, <a href="https://doi.org/10.1107/S0108767301016609">Algebraic determination of generating functions for coordination sequences in crystal structures</a>, Acta Cryst. A58 (2002), 47-53.
%F G.f.: (1+6*x+x^2)*(1+x^2)^2/(1-x^2)^3.
%F a(n) = 1 if n=1 or 2*n^2+5/2-(-1)^n*(n^2+1/2) if n>1. - C. Ronaldo (aga_new_ac(AT)hotmail.com), Dec 13 2004
%p 1,seq(2*n^2+5/2-(-1)^n*(n^2+1/2),n=1..55); with(genfunc): seq(rgf_term((1+6*x+x^2)*(1+x^2)^2/(1-x^2)^3, x, i),i=0..55); # C. Ronaldo
%Y Cf. A066394.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Jan 19 2002
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