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%I #14 Sep 18 2017 08:04:08
%S 0,0,0,6,36,210,1452,12138,114684,1147002,11729148,120902202,
%T 1249686492,12929303130,133809210108,1384977143610,14335551770268,
%U 148385432561562,1535924231893308,15898233466089210,164561459781232092,1703363953470584922,17631399812695032444
%N Sum of values of vertices of type C at level n of the hyperbolic Pascal pyramid.
%H Colin Barker, <a href="/A292297/b292297.txt">Table of n, a(n) for n = 0..988</a>
%H László Németh, <a href="http://arxiv.org/abs/1511.02067">Hyperbolic Pascal pyramid</a>, arXiv:1511.0267 [math.CO], 2015 (3rd line of Table 2).
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (18,-99,226,-224,92,-12).
%F a(n) = 18*a(n-1) - 99*a(n-2) + 226*a(n-3) - 224*a(n-4) + 92*a(n-5) - 12*a(n-6), n >= 7.
%F G.f.: 6*x^3*(1 - 12*x + 26*x^2 - 20*x^3) / ((1 - x)*(1 - 4*x + 2*x^2)*(1 - 13*x + 28*x^2 - 6*x^3)). - _Colin Barker_, Sep 17 2017
%t CoefficientList[Series[6*x^3*(1 - 12*x + 26*x^2 - 20*x^3)/((1 - x)*(1 - 4*x + 2*x^2)*(1 - 13*x + 28*x^2 - 6*x^3)), {x, 0, 20}], x] (* _Wesley Ivan Hurt_, Sep 17 2017 *)
%o (PARI) concat(vector(3), Vec(6*x^3*(1 - 12*x + 26*x^2 - 20*x^3) / ((1 - x)*(1 - 4*x + 2*x^2)*(1 - 13*x + 28*x^2 - 6*x^3)) + O(x^30))) \\ _Colin Barker_, Sep 17 2017
%Y Cf. A264237.
%K nonn,easy
%O 0,4
%A _Eric M. Schmidt_, Sep 14 2017
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