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%I #16 Sep 08 2022 08:45:15
%S 1,92,438,1204,2555,4656,7672,11768,17109,23860,32186,42252,54223,
%T 68264,84540,103216,124457,148428,175294,205220,238371,274912,315008,
%U 358824,406525,458276,514242,574588,639479,709080,783556,863072
%N Structured pentagonal hexacontahedral numbers (vertex structure 16).
%H Vincenzo Librandi, <a href="/A100169/b100169.txt">Table of n, a(n) for n = 1..10000</a>
%F a(n) = (1/6)*(165*n^3 - 225*n^2 + 66*n).
%F G.f.: x*(1 + 88*x + 76*x^2)/(1-x)^4. - _Colin Barker_, Feb 14 2012
%F a(n) = (55*n^3 - 75*n^2 + 22*n)/2. - _Wesley Ivan Hurt_, Nov 26 2013
%p A100169:=n->(55*n^3-75*n^2+22*n)/2; seq(A100169(n), n=1..100); # _Wesley Ivan Hurt_, Nov 26 2013
%t Table[(55n^3 - 75n^2 + 22n)/2, {n, 100}] (* _Wesley Ivan Hurt_, Nov 26 2013 *)
%o (Magma) [(1/6)*(165*n^3-225*n^2+66*n): n in [1..40]]; // _Vincenzo Librandi_, Jul 27 2011
%Y Cf. A100170 = alternate vertex; A100145 for more on structured numbers.
%K easy,nonn
%O 1,2
%A James A. Record (james.record(AT)gmail.com), Nov 07 2004
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