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.

A168576 a(n) = (10^n+1)^4.

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%I A168576 #20 Oct 08 2024 22:19:16
%S A168576 16,14641,104060401,1004006004001,10004000600040001,
%T A168576 100004000060000400001,1000004000006000004000001,
%U A168576 10000004000000600000040000001,100000004000000060000000400000001
%N A168576 a(n) = (10^n+1)^4.
%H A168576 Vincenzo Librandi, <a href="/A168576/b168576.txt">Table of n, a(n) for n = 0..100</a>
%H A168576 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (11111,-11222110,1122211000,-11111000000,10000000000).
%F A168576 G.f. ( -16+163135*x-120938010*x^2+5861575000*x^3-14641000000*x^4 ) / ( (x-1)*(100*x-1)*(1000*x-1)*(10*x-1)*(10000*x-1) ). - _R. J. Mathar_, Jul 03 2012
%F A168576 a(n) = A000583(A062397(n)). - _Michel Marcus_, May 26 2016
%t A168576 Table[(10^n + 1)^4, {n, 0, 30}] (* _Vincenzo Librandi_, May 26 2016 *)
%t A168576 (10^Range[0,20]+1)^4 (* or *) LinearRecurrence[{11111,-11222110,1122211000,-11111000000,10000000000},{16,14641,104060401,1004006004001,10004000600040001},20] (* _Harvey P. Dale_, Sep 10 2018 *)
%o A168576 (PARI) for(n=0,13,print1((10^n+1)^4","))
%o A168576 (Magma) [(10^n+1)^4: n in [0..10]]; // _Vincenzo Librandi_, May 26 2016
%Y A168576 Cf. A000583, A062397.
%K A168576 easy,nonn
%O A168576 0,1
%A A168576 _Jason Earls_, Nov 30 2009