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%I #16 Sep 08 2022 08:45:15
%S 1,26,115,308,645,1166,1911,2920,4233,5890,7931,10396,13325,16758,
%T 20735,25296,30481,36330,42883,50180,58261,67166,76935,87608,99225,
%U 111826,125451,140140,155933,172870,190991,210336
%N Structured disdyakis dodecahedral numbers (vertex structure 9).
%C Also structured deltoidal icositetrahedral numbers (vertex structure 9) (cf. A100162 = alternate vertex).
%H Vincenzo Librandi, <a href="/A100161/b100161.txt">Table of n, a(n) for n = 1..5000</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F a(n) = (1/6)*(40*n^3 - 48*n^2 + 14*n).
%F G.f.: x*(1 + 22*x + 17*x^2)/(1-x)^4. - _Colin Barker_, Jan 19 2012
%t Table[(40n^3-48n^2+14n)/6,{n,40}] (* or *) LinearRecurrence[{4,-6,4,-1},{1,26,115,308},40] (* _Harvey P. Dale_, Sep 23 2016 *)
%o (Magma) [(1/6)*(40*n^3-48*n^2+14*n): n in [1..40]]; // _Vincenzo Librandi_, Jul 24 2011
%Y Cf. A100162, A100163 = alternate vertices; A100145 for more on structured polyhedral numbers.
%K nonn,easy
%O 1,2
%A James A. Record (james.record(AT)gmail.com), Nov 07 2004
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