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%I #7 Aug 05 2023 15:55:40
%S 1,18,198,2442,27396,322238,3676684,42682364,490330760,5667610636,
%T 65270671720,753317707256,8683177195608,100163807669976,
%U 1154904765618976,13319816385434800,153596409580655296
%N G.f. = (1+10*x-12*x^2-50*x^3+10*x^4+10*x^5-12*x^6)/(1-8*x-66*x^2+280*x^3+178*x^4-532*x^5-84*x^6+108*x^7).
%D S. Kitaev, A. Burstein and T. Mansour. Counting independent sets in certain classes of (almost) regular graphs, Pure Mathematics and Applications (PU.M.A.) 19 (2008), no. 2-3, 17-26.
%H S. Kitaev, A. Burstein and T. Mansour. <a href="http://www.ru.is/kennarar/sergey/index_files/Papers/burkitman_PUMA.pdf"> Counting independent sets in certain classes of (almost) regular graphs </a>
%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (8, 66, -280, -178, 532, 84, -108).
%F (1+10*x-12*x^2-50*x^3+10*x^4+10*x^5-12*x^6)/(1-8*x-66*x^2+280*x^3+178*x^4-532*x^5-84*x^6+108*x^7)
%t CoefficientList[Series[(1+10x-12x^2-50x^3+10x^4+10x^5-12x^6)/(1-8x-66x^2+280x^3+178x^4- 532x^5-84x^6+108x^7),{x,0,20}],x] (* or *) LinearRecurrence[{8,66,-280,-178,532,84,-108},{1,18,198,2442,27396,322238,3676684},20] (* _Harvey P. Dale_, Aug 05 2023 *)
%K nonn
%O 1,2
%A Signy Olafsdottir (signy06(AT)ru.is), May 07 2010
%E Name edited by _N. J. A. Sloane_, Aug 05 2023
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