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A100163 Structured disdyakis dodecahedral numbers (vertex structure 5).

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%I A100163 #16 Aug 06 2025 09:26:55
%S A100163 1,26,119,324,685,1246,2051,3144,4569,6370,8591,11276,14469,18214,
%T A100163 22555,27536,33201,39594,46759,54740,63581,73326,84019,95704,108425,
%U A100163 122226,137151,153244,170549,189110,208971,230176
%N A100163 Structured disdyakis dodecahedral numbers (vertex structure 5).
%H A100163 Vincenzo Librandi, <a href="/A100163/b100163.txt">Table of n, a(n) for n = 1..5000</a>
%H A100163 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A100163 a(n) = (1/6)*(44*n^3 - 60*n^2 + 22*n).
%F A100163 G.f.: x*(1 + 22*x + 21*x^2)/(1-x)^4. - _Colin Barker_, Jan 19 2012
%o A100163 (Magma) [(1/6)*(44*n^3-60*n^2+22*n): n in [1..40]]; // _Vincenzo Librandi_, Jul 25 2011
%Y A100163 Cf. A100161, A100162 = alternate vertices; A100145 for more on structured polyhedral numbers.
%K A100163 nonn,easy
%O A100163 1,2
%A A100163 James A. Record (james.record(AT)gmail.com), Nov 07 2004