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%I #12 Sep 08 2022 08:45:15
%S 1,48,221,600,1265,2296,3773,5776,8385,11680,15741,20648,26481,33320,
%T 41245,50336,60673,72336,85405,99960,116081,133848,153341,174640,
%U 197825,222976,250173,279496,311025,344840,381021,419648
%N Structured great rhombicubeoctahedral numbers.
%H Vincenzo Librandi, <a href="/A100146/b100146.txt">Table of n, a(n) for n = 1..5000</a>
%F a(n) = (1/6)*(80*n^3 - 102*n^2 + 28*n).
%F a(n) = ((n-1)+1)*(5*(n-1)+3)*(8*(n-1)+1)/3; g.f.: x*(1 + 44*x + 35*x^2)/(1-x)^4. - _Jaume Oliver Lafont_, Sep 08 2009
%o (Magma) [((n-1)+1)*(5*(n-1)+3)*(8*(n-1)+1)/3: n in [1..40]]; // _Vincenzo Librandi_, Jul 19 2011
%Y Cf. A100145, A100147 for adjacent structured Archimedean solids; and 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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