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.

A017441 a(n) = (11*n + 4)^5.

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%I A017441 #10 Sep 08 2022 08:44:42
%S A017441 1024,759375,11881376,69343957,254803968,714924299,1680700000,
%T A017441 3486784401,6590815232,11592740743,19254145824,30517578125,
%U A017441 46525874176,68641485507,98465804768,137858491849,188956800000
%N A017441 a(n) = (11*n + 4)^5.
%H A017441 G. C. Greubel, <a href="/A017441/b017441.txt">Table of n, a(n) for n = 0..1000</a>
%H A017441 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A017441 From _G. C. Greubel_, Sep 18 2019: (Start)
%F A017441 G.f.: (1024 +753231*x +7340486*x^2 +9425846*x^3 +1788726*x^4 +16807*x^5 )/(1-x)^6.
%F A017441 E.g.f.: (1024 +758351*x +5181825*x^2 +5996155*x^3 +1903330*x^4 +161051*x^5)*exp(x). (End)
%p A017441 seq((11*n+4)^5, n=0..20); # _G. C. Greubel_, Sep 18 2019
%t A017441 (11 Range[0,20]+4)^5 (* or *) LinearRecurrence[{6,-15,20,-15,6,-1}, {1024,759375,11881376,69343957,254803968,714924299},20] (* _Harvey P. Dale_, Jan 30 2017 *)
%o A017441 (PARI) vector(20, n, (11*n-7)^5) \\ _G. C. Greubel_, Sep 18 2019
%o A017441 (Magma) [(11*n+4)^5: n in [0..20]]; // _G. C. Greubel_, Sep 18 2019
%o A017441 (Sage) [(11*n+4)^5 for n in (0..20)] # _G. C. Greubel_, Sep 18 2019
%o A017441 (GAP) List([0..20], n-> (11*n+4)^5); # _G. C. Greubel_, Sep 18 2019
%Y A017441 Powers of the form (11*n+4)^m: A017437 (m=1), A017438 (m=2), A017439 (m=3), A017440 (m=4), this sequence (m=5), A017442 (m=6), A017443 (m=7), A017444 (m=8), A017445 (m=9), A017446 (m=10), A017447 (m=11), A017448 (m=12).
%K A017441 nonn,easy
%O A017441 0,1
%A A017441 _N. J. A. Sloane_