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A100167 Structured pentagonal icositetrahedral numbers (vertex structure 13). 2

%I

%S 1,38,171,460,965,1746,2863,4376,6345,8830,11891,15588,19981,25130,

%T 31095,37936,45713,54486,64315,75260,87381,100738,115391,131400,

%U 148825,167726,188163,210196,233885,259290,286471,315488

%N Structured pentagonal icositetrahedral numbers (vertex structure 13).

%H Vincenzo Librandi, <a href="/A100167/b100167.txt">Table of n, a(n) for n = 1..5000</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).

%F a(n) = (1/6)*(60*n^3 - 72*n^2 + 18*n).

%F G.f.: x*(1 + 34*x + 25*x^2)/(1-x)^4. - _Colin Barker_, Feb 14 2012

%t Table[(60n^3-72n^2+18n)/6,{n,40}] (* or *) LinearRecurrence[{4,-6,4,-1},{1,38,171,460},40] (* _Harvey P. Dale_, Aug 21 2016 *)

%o (MAGMA) [(1/6)*(60*n^3-72*n^2+18*n): n in [1..40]]; // _Vincenzo Librandi_, Jul 26 2011

%Y Cf. A100168 = alternate vertex; A100145 for more on structured numbers.

%K easy,nonn

%O 1,2

%A James A. Record (james.record(AT)gmail.com), Nov 07 2004

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Last modified August 2 17:12 EDT 2021. Contains 346428 sequences. (Running on oeis4.)