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.

A017452 a(n) = (11*n + 5)^4.

This page as a plain text file.
%I A017452 #18 Nov 29 2022 16:32:04
%S A017452 625,65536,531441,2085136,5764801,12960000,25411681,45212176,74805201,
%T A017452 116985856,174900625,252047376,352275361,479785216,639128961,
%U A017452 835210000,1073283121,1358954496,1698181681,2097273616,2562890625,3102044416,3722098081,4430766096,5236114321,6146560000
%N A017452 a(n) = (11*n + 5)^4.
%H A017452 Vincenzo Librandi, <a href="/A017452/b017452.txt">Table of n, a(n) for n = 0..10000</a>
%H A017452 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A017452 From _G. C. Greubel_, Sep 18 2019: (Start)
%F A017452 G.f.: (625 +62411*x +210011*x^2 +77041*x^3 +1296*x^4)/(1-x)^5.
%F A017452 E.g.f.: (625 +64911*x +200497*x^2 +114466*x^3 +14641*x^4)*exp(x). (End)
%p A017452 seq((11*n+5)^4, n=0..30); # _G. C. Greubel_, Sep 18 2019
%t A017452 (11*Range[30] -6)^3 (* _G. C. Greubel_, Sep 18 2019 *)
%t A017452 LinearRecurrence[{5,-10,10,-5,1},{625,65536,531441,2085136,5764801},30] (* _Harvey P. Dale_, Nov 29 2022 *)
%o A017452 (Magma) [(11*n+5)^4: n in [0..30]]; // _Vincenzo Librandi_, Sep 03 2011
%o A017452 (PARI) vector(30, n, (11*n-6)^4) \\ _G. C. Greubel_, Sep 18 2019
%o A017452 (Sage) [(11*n+5)^4 for n in (0..30)] # _G. C. Greubel_, Sep 18 2019
%o A017452 (GAP) List([0..30], n-> (11*n+5)^4); # _G. C. Greubel_, Sep 18 2019
%Y A017452 Powers of the form (11*n+5)^m: A017449 (m=1), A017450 (m=2), A017451 (m=3), this sequence (m=4), A017453 (m=5), A017454 (m=6), A017455 (m=7), A017456 (m=8), A017457 (m=9), A017458 (m=10), A017459 (m=11), A017460 (m=12).
%K A017452 nonn,easy
%O A017452 0,1
%A A017452 _N. J. A. Sloane_