%I #17 Sep 08 2022 08:45:15
%S 1,26,117,316,665,1206,1981,3032,4401,6130,8261,10836,13897,17486,
%T 21645,26416,31841,37962,44821,52460,60921,70246,80477,91656,103825,
%U 117026,131301,146692,163241,180990,199981,220256
%N Structured disdyakis dodecahedral numbers (vertex structure 7).
%C Also structured deltoidal icositetrahedral numbers (vertex structure 7) (cf. A100161 = alternate vertex).
%H Vincenzo Librandi, <a href="/A100162/b100162.txt">Table of n, a(n) for n = 1..5000</a>
%F a(n) = (1/6)*(42*n^3 - 54*n^2 + 18*n).
%F G.f.: x*(1 + 22*x + 19*x^2)/(1-x)^4. - _Colin Barker_, Jan 19 2012
%o (Magma) [(1/6)*(42*n^3-54*n^2+18*n): n in [1..40]]; // _Vincenzo Librandi_, Jul 24 2011
%Y Cf. A100161, A100163 = alternate vertices; A100145 for more on structured polyhedral numbers.
%Y Cf. A260260 (comment). - _Bruno Berselli_, Jul 22 2015
%K nonn,easy
%O 1,2
%A James A. Record (james.record(AT)gmail.com), Nov 07 2004