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%I #15 Nov 15 2022 14:18:51
%S 1,62,295,812,1725,3146,5187,7960,11577,16150,21791,28612,36725,46242,
%T 57275,69936,84337,100590,118807,139100,161581,186362,213555,243272,
%U 275625,310726,348687,389620,433637,480850,531371,585312
%N Structured deltoidal hexacontahedral numbers (vertex structure 9).
%H Vincenzo Librandi, <a href="/A100166/b100166.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)*(112*n^3 - 156*n^2 + 50*n).
%F G.f.: x*(1 + 58*x + 53*x^2)/(1-x)^4. - _Colin Barker_, Jan 19 2012
%t LinearRecurrence[{4,-6,4,-1},{1,62,295,812},40] (* _Harvey P. Dale_, Nov 15 2022 *)
%o (Magma) [(1/6)*(112*n^3-156*n^2+50*n): n in [1..40]]; // _Vincenzo Librandi_, Jul 26 2011
%Y Cf. A100158, A100159 = alternate vertices; A100145 for more on structured numbers.
%K nonn,easy
%O 1,2
%A James A. Record (james.record(AT)gmail.com), Nov 07 2004