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.

A134327 a(n) = (n^5-n-5)/5.

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%I A134327 #14 Oct 21 2022 21:38:22
%S A134327 -1,-1,5,47,203,623,1553,3359,6551,11807,19997,32207,49763,74255,
%T A134327 107561,151871,209711,283967,377909,495215,639995,816815,1030721,
%U A134327 1287263,1592519,1953119,2376269,2869775,3442067,4102223,4859993,5725823,6710879,7827071,9087077,10504367,12093227,13868783
%N A134327 a(n) = (n^5-n-5)/5.
%C A134327 All numbers generated by polynomial A131176 are congruent to 4 mod 5.
%C A134327 The polynomial n^5-n-5 is irreducible.
%H A134327 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A134327 a(n) = ((n^5 - n - 1) - 4)/5
%F A134327 G.f.: (-1+5*x-4*x^2+22*x^3+x^4+x^5)/(-1+x)^6. - _R. J. Mathar_, Nov 14 2007
%t A134327 Table[((n^5 - n - 1) - 4)/5, {n, 0, 100}]
%o A134327 (PARI) a(n) = (n^5-n-5)/5; \\ _Jinyuan Wang_, Mar 12 2020
%Y A134327 Cf. A131176.
%K A134327 sign,easy
%O A134327 0,3
%A A134327 _Artur Jasinski_, Oct 20 2007