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%I #15 Sep 08 2022 08:45:15
%S 1,62,297,820,1745,3186,5257,8072,11745,16390,22121,29052,37297,46970,
%T 58185,71056,85697,102222,120745,141380,164241,189442,217097,247320,
%U 280225,315926,354537,396172,440945,488970,540361,595232
%N Structured disdyakis triacontahedral numbers (vertex structure 7).
%C Also structured deltoidal hexacontahedral numbers (vertex structure 7) (cf. A100158, A100166 = alternate vertices).
%H Vincenzo Librandi, <a href="/A100159/b100159.txt">Table of n, a(n) for n = 1..5000</a>
%F a(n) = (1/6)*(114*n^3 - 162*n^2 + 54*n) = n*(19*n^2 - 27*n + 9).
%F G.f.: x*(1 + 58*x + 55*x^2)/(1-x)^4. [_Colin Barker_, Apr 16 2012]
%o (Magma) [(1/6)*(114*n^3-162*n^2+54*n): n in [1..40]]; // _Vincenzo Librandi_, Jul 19 2011
%Y Cf. A100158, A100160 = 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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