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 A133070 #24 Oct 21 2022 21:56:25 %S A133070 0,-1,20,207,944,2975,7524,16415,32192,58239,98900,159599,246960, %T A133070 368927,534884,755775,1044224,1414655,1883412,2468879,3191600,4074399, %U A133070 5142500,6423647,7948224,9749375,11863124,14328495,17187632,20485919,24272100,28598399,33520640,39098367,45394964 %N A133070 a(n) = n^5 - n^3 - n^2. %C A133070 Exponents are prime numbers in decreasing order. %H A133070 G. C. Greubel, <a href="/A133070/b133070.txt">Table of n, a(n) for n = 0..1000</a> %H A133070 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6, -15, 20, -15, 6, -1). %F A133070 a(n) = n^5 - n^3 - n^2. %F A133070 G.f.: x*(-1 +26*x + 72*x^2 + 22*x^3 + x^4)/(1-x)^6. - _R. J. Mathar_, Nov 14 2007 %F A133070 a(n) = 6*a(n-1) -15*a(n-2) +20*a(n-3) -15*a(n-4) +6*a(n-5) -a(n-6), with a(0)=0, a(1)=-1, a(2)=20, a(3)=207, a(4)=944, a(5)=2975. - _Harvey P. Dale_, Jul 23 2011 %e A133070 a(7)=16415 because 7^5=16807, 7^3=343, 7^2=49 and we can write 16807-343-49=16415. %t A133070 Table[n^5-n^3-n^2,{n,0,40}] (* or *) LinearRecurrence[ {6,-15,20,-15,6,-1},{0,-1,20,207,944,2975},41] (* _Harvey P. Dale_, Jul 23 2011 *) %o A133070 (Magma) [n^5-n^3-n^2: n in [0..50]]; // _Vincenzo Librandi_, Dec 15 2010 %o A133070 (PARI) for(n=0,50, print1(n^5 - n^3 - n^2, ", ")) \\ _G. C. Greubel_, Oct 20 2017 %Y A133070 Cf. A000290, A000578, A000584, A011379, A045991, A100019. %Y A133070 Cf. A133071, A133072, A133073. %K A133070 sign,easy %O A133070 0,3 %A A133070 _Omar E. Pol_, Nov 01 2007 %E A133070 More terms from _Vincenzo Librandi_, Dec 15 2010