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%I #13 Sep 08 2022 08:45:15
%S 1,62,299,828,1765,3226,5327,8184,11913,16630,22451,29492,37869,47698,
%T 59095,72176,87057,103854,122683,143660,166901,192522,220639,251368,
%U 284825,321126,360387,402724,448253,497090,549351,605152
%N Structured disdyakis triacontahedral numbers (vertex structure 5).
%H Vincenzo Librandi, <a href="/A100160/b100160.txt">Table of n, a(n) for n = 1..5000</a>
%F a(n) = (1/6)*(116*n^3 - 168*n^2 + 58*n).
%F G.f.: x*(1+x)*(1+57*x)/(1-x)^4. [_Colin Barker_, Apr 16 2012]
%o (Magma) [(1/6)*(116*n^3-168*n^2+58*n): n in [1..40]]; // _Vincenzo Librandi_, Jul 19 2011
%Y Cf. A100158, A100159 = alternate vertices; A100145 for more on structured polyhedral numbers.
%K easy,nonn
%O 1,2
%A James A. Record (james.record(AT)gmail.com), Nov 07 2004
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