A100163 - OEIS

%I #14 Sep 08 2022 08:45:15

%S 1,26,119,324,685,1246,2051,3144,4569,6370,8591,11276,14469,18214,

%T 22555,27536,33201,39594,46759,54740,63581,73326,84019,95704,108425,

%U 122226,137151,153244,170549,189110,208971,230176

%N Structured disdyakis dodecahedral numbers (vertex structure 5).

%H Vincenzo Librandi, <a href="/A100163/b100163.txt">Table of n, a(n) for n = 1..5000</a>

%F a(n) = (1/6)*(44*n^3 - 60*n^2 + 22*n).

%F G.f.: x*(1 + 22*x + 21*x^2)/(1-x)^4. - _Colin Barker_, Jan 19 2012

%o (Magma) [(1/6)*(44*n^3-60*n^2+22*n): n in [1..40]]; // _Vincenzo Librandi_, Jul 25 2011

%Y Cf. A100161, A100162 = 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