|
%I #13 Jan 10 2019 13:28:49
%S 0,1,3,12,48,195,791,3211,13031,52884,214614,870949,3534489,14343685,
%T 58209627,236226664,958656488,3890425619,15788149015,64071562799,
%U 260015607607,1055196927408,4282206617710,17378077058869,70523818494625,286200191092217,1161459364079427,4713441487441732,19128117041912800
%N A323260(n)/2.
%H Colin Barker, <a href="/A323261/b323261.txt">Table of n, a(n) for n = 0..1000</a>
%H K. A. Van'kov, V. M. Zhuravlyov, <a href="https://www.mccme.ru/free-books/matpros/pdf/mp-22.pdf#page=127">Regular tilings and generating functions</a>, Mat. Pros. Ser. 3, issue 22, 2018 (127-157) [in Russian]. See Table 1, g_n/2.
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-3,-5,7,-1).
%F Van'kov and Zhuravlyov give recurrences.
%F From _Colin Barker_, Jan 10 2019: (Start)
%F G.f.: x*(1 - x)^3*(1 + x) / (1 - 5*x + 3*x^2 + 5*x^3 - 7*x^4 + x^5).
%F a(n) = 5*a(n-1) - 3*a(n-2) - 5*a(n-3) + 7*a(n-4) - a(n-5) for n>5.
%F (End)
%o (PARI) concat(0, Vec(x*(1 - x)^3*(1 + x) / (1 - 5*x + 3*x^2 + 5*x^3 - 7*x^4 + x^5) + O(x^30))) \\ _Colin Barker_, Jan 10 2019
%Y Cf. A323260.
%K nonn,easy
%O 0,3
%A _N. J. A. Sloane_, Jan 09 2019
|
