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.

A001593 a(n) = 5^n + n^5.

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%I A001593 #33 Sep 08 2022 08:44:29
%S A001593 1,6,57,368,1649,6250,23401,94932,423393,2012174,9865625,48989176,
%T A001593 244389457,1221074418,6104053449,30518337500,152588939201,
%U A001593 762940872982,3814699155193,19073488804224,95367434840625,476837162287226,2384185796169257,11920928961514468
%N A001593 a(n) = 5^n + n^5.
%C A001593 a(24) is prime; a(1036) and a(104824) are probable primes (3-PRP). - _David Radcliffe_, Dec 23 2016
%H A001593 Vincenzo Librandi, <a href="/A001593/b001593.txt">Table of n, a(n) for n = 0..1000</a>
%H A001593 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (11,-45,95,-115,81,-31,5).
%F A001593 G.f.: (4*x^6+135*x^5+289*x^4+84*x^3-36*x^2+5*x-1) / ((x-1)^6*(5*x-1)). - _Colin Barker_, May 07 2013
%p A001593 seq(seq(k^n+n^k, k=5..5), n=0..20); # _Zerinvary Lajos_, Jun 29 2007
%t A001593 f[n_]:=5^n+n^5;f[Range[0,40]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 14 2011 *)
%t A001593 LinearRecurrence[{11,-45,95,-115,81,-31,5},{1,6,57,368,1649,6250,23401},30] (* _Harvey P. Dale_, Jan 15 2018 *)
%o A001593 (Magma) [5^n+n^5: n in [0..30]]; // _Vincenzo Librandi_, Oct 27 2011
%o A001593 (PARI) a(n)=5^n+n^5 \\ _Charles R Greathouse IV_, Oct 07 2015
%Y A001593 Cf. A001580, A001585, A001589.
%K A001593 nonn,easy
%O A001593 0,2
%A A001593 _N. J. A. Sloane_
%E A001593 More terms from _Colin Barker_, May 07 2013