A100154 - OEIS

%I #13 Sep 08 2022 08:45:15

%S 1,60,282,772,1635,2976,4900,7512,10917,15220,20526,26940,34567,43512,

%T 53880,65776,79305,94572,111682,130740,151851,175120,200652,228552,

%U 258925,291876,327510,365932,407247,451560,498976,549600

%N Structured truncated icosahedral numbers.

%H Vincenzo Librandi, <a href="/A100154/b100154.txt">Table of n, a(n) for n = 1..5000</a>

%F a(n) = (1/2)*n*(35*n^2 - 47*n + 14).

%F G.f.: x*(1 + 56*x + 48*x^2)/(1-x)^4. - _Colin Barker_, Feb 12 2012

%o (Magma) [(1/6)*(105*n^3-141*n^2+42*n): n in [1..40]]; // _Vincenzo Librandi_, Jul 19 2011

%Y Cf. A100153, A100155 for adjacent structured Archimedean solids; 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