This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A168555 #25 Apr 26 2024 20:24:17 %S A168555 0,1,288,10206,133120,984375,5062176,20235628,67239936,193975965, %T A168555 500500000,1179859626,2581383168,5304663091,10334288160,19227375000, %U A168555 34368126976,59306007033,99196651296,161367371830,256032000000,397182906351,603691298848,900650348676 %N A168555 a(n) = n^6*(n^3 + 1)/2. %C A168555 a(n) is the number of inequivalent 3 X 3 matrices with entries in {1,2,...,n} when a matrix and its transpose are considered equivalent. - _Geoffrey Critzer_, Dec 18 2011. %H A168555 Vincenzo Librandi, <a href="/A168555/b168555.txt">Table of n, a(n) for n = 0..10000</a> %H A168555 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10,-45,120,-210,252,-210,120,-45,10,-1). %F A168555 G.f.: x*(1 + 278*x + 7371*x^2 + 43900*x^3 + 78095*x^4 + 44334*x^5 + 7237*x^6 + 224*x^7) / (1 - x)^10. - _Colin Barker_, Feb 23 2017 %t A168555 Table[n^6*(n^3 + 1)/2, {n,0,25}] (* _G. C. Greubel_, Jul 26 2016 *) %t A168555 LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{0,1,288,10206,133120,984375,5062176,20235628,67239936,193975965},30] (* _Harvey P. Dale_, Apr 26 2024 *) %o A168555 (Magma) [n^6*(n^3+1)/2: n in [0..30]]; // _Vincenzo Librandi_, Aug 29 2011 %o A168555 (PARI) a(n) = (n^6+n^9)/2 \\ _Charles R Greathouse IV_, Dec 20 2011 %o A168555 (PARI) concat(0, Vec(x*(1 + 278*x + 7371*x^2 + 43900*x^3 + 78095*x^4 + 44334*x^5 + 7237*x^6 + 224*x^7) / (1 - x)^10 + O(x^30))) \\ _Colin Barker_, Feb 23 2017 %K A168555 nonn,easy %O A168555 0,3 %A A168555 _N. J. A. Sloane_, Dec 11 2009