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%I #21 Jan 19 2024 04:42:42
%S 1,5,32,151,819,4056,21145,106877,550088,2800975,14352987,73273152,
%T 374896033,1915610597,9795808064,50069619991,255991741683,
%U 1308603509784,6690079956601,34200325541597,174841101178664,893816437200847,4569389285283675,23359579180191744,119419053268283329
%N Expansion of g.f. (1+2*x+3*x^2)/(1-3*x-14*x^2+15*x^3+7*x^4).
%H Alexander Burstein, Sergey Kitaev, and Toufik Mansour. <a href="https://www.researchgate.net/publication/230803063_Counting_independent_sets_in_some_classes_of_almost_regular_graphs">Counting independent sets in certain classes of (almost) regular graphs</a>, Pure Mathematics and Applications (PU.M.A.) 19 (2008), no. 2-3, 17-26.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (3,14,-15,-7).
%F a(n) = 3*a(n-1) + 14*a(n-2) - 15*a(n-3) - 7*a(n-4) for n > 4. - _Chai Wah Wu_, Dec 24 2023
%t CoefficientList[Series[(1+2*x+3*x^2)/(1-3*x-14*x^2+15*x^3+7*x^4), {x, 0, 50}
%t ], x] (* _Georg Fischer_, Jan 19 2024 *)
%K nonn,easy
%O 0,2
%A Signy Olafsdottir (signy06(AT)ru.is), May 09 2010
%E More terms from _Stefano Spezia_, Dec 24 2023
%E Offset changed to 0 by _Georg Fischer_, Jan 19 2024
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