cp's OEIS Frontend

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.

A133072 a(n) = n^5 + n^3 - n^2.

This page as a plain text file.
%I A133072 #13 Sep 08 2022 08:45:31
%S A133072 0,1,36,261,1072,3225,7956,17101,33216,59697,100900,162261,250416,
%T A133072 373321,540372,762525,1052416,1424481,1895076,2482597,3207600,4092921,
%U A133072 5163796,6447981,7975872,9780625,11898276,14367861,17231536,20534697,24326100,28657981,33586176,39170241,45473572
%N A133072 a(n) = n^5 + n^3 - n^2.
%C A133072 Exponents are the prime numbers in decreasing order.
%H A133072 G. C. Greubel, <a href="/A133072/b133072.txt">Table of n, a(n) for n = 0..1000</a>
%F A133072 a(n) = n^5 + n^3 - n^2.
%F A133072 G.f.: x*(1 + 30*x + 60*x^2 + 26*x^3 + 3*x^4)/(1-x)^6. - _R. J. Mathar_, Nov 14 2007
%e A133072 a(7)=17101 because 7^5=16807, 7^3=343, 7^2=49 and we can write 16807+343-49=17101.
%t A133072 Table[n^5 + n^3 - n^2, {n, 0, 50}] (* _G. C. Greubel_, Oct 20 2017 *)
%o A133072 (Magma) [n^5+n^3-n^2: n in [0..50]]; // _Vincenzo Librandi_, Dec 15 2010
%o A133072 (PARI) for(n=0,50, print1(n^5 + n^3 - n^2, ", ")) \\ _G. C. Greubel_, Oct 20 2017
%Y A133072 Cf. A000290, A000578, A000584, A011379, A045991, A100019.
%Y A133072 Cf. A133070, A133071, A133073.
%K A133072 nonn
%O A133072 0,3
%A A133072 _Omar E. Pol_, Nov 01 2007
%E A133072 More terms from _Vincenzo Librandi_, Dec 15 2010