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.

A017453 a(n) = (11*n + 5)^5.

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%I A017453 #16 Sep 08 2022 08:44:42
%S A017453 3125,1048576,14348907,79235168,282475249,777600000,1804229351,
%T A017453 3707398432,6956883693,12166529024,20113571875,31757969376,
%U A017453 48261724457,71008211968,101621504799,141985700000,194264244901
%N A017453 a(n) = (11*n + 5)^5.
%H A017453 Vincenzo Librandi, <a href="/A017453/b017453.txt">Table of n, a(n) for n = 0..10000</a>
%H A017453 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A017453 From _G. C. Greubel_, Sep 18 2019: (Start)
%F A017453 G.f.: (3125 +1029826*x +8104326*x^2 +8807866*x^3 +1373201*x^4 +7776*x^5)/(1-x)^6.
%F A017453 E.g.f.: (3125 +1045451*x +6127440*x^2 +6555175*x^3 +1976535*x^4 +161051*x^5)*exp(x). (End)
%p A017453 seq((11*n+5)^5, n=0..30); # _G. C. Greubel_, Sep 18 2019
%t A017453 (11*Range[31] -6)^5 (* _G. C. Greubel_, Sep 18 2019 *)
%o A017453 (Magma) [(11*n+5)^5: n in [0..30]]; // _Vincenzo Librandi_, Sep 03 2011
%o A017453 (PARI) vector(30, n, (11*n-6)^5) \\ _G. C. Greubel_, Sep 18 2019
%o A017453 (Sage) [(11*n+5)^5 for n in (0..30)] # _G. C. Greubel_, Sep 18 2019
%o A017453 (GAP) List([0..30], n-> (11*n+5)^5); # _G. C. Greubel_, Sep 18 2019
%Y A017453 Powers of the form (11*n+5)^m: A017449 (m=1), A017450 (m=2), A017451 (m=3), A017452 (m=4), this sequence (m=5), A017454 (m=6), A017455 (m=7), A017456 (m=8), A017457 (m=9), A017458 (m=10), A017459 (m=11), A017460 (m=12).
%K A017453 nonn,easy
%O A017453 0,1
%A A017453 _N. J. A. Sloane_