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A100170 Structured pentagonal hexacontahedral numbers (vertex structure 10). 2

%I

%S 1,92,444,1228,2615,4776,7882,12104,17613,24580,33176,43572,55939,

%T 70448,87270,106576,128537,153324,181108,212060,246351,284152,325634,

%U 370968,420325,473876,531792,594244,661403,733440,810526,892832

%N Structured pentagonal hexacontahedral numbers (vertex structure 10).

%H Vincenzo Librandi, <a href="/A100170/b100170.txt">Table of n, a(n) for n = 1..10000</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)*(171*n^3 - 243*n^2 + 78*n).

%F G.f.: x*(1 + 88*x + 82*x^2)/(1-x)^4. - _Colin Barker_, Feb 14 2012

%o (MAGMA) [(1/6)*(171*n^3-243*n^2+78*n): n in [1..40]]; // _Vincenzo Librandi_, Jul 27 2011

%o (PARI) a(n)=n*(171*n^2-243*n+78)/6 \\ _Charles R Greathouse IV_, Feb 06 2012

%Y Cf. A100169 = 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 June 23 13:59 EDT 2021. Contains 345402 sequences. (Running on oeis4.)