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.

A017464 a(n) = (11*n + 6)^4.

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%I A017464 #18 Sep 08 2022 08:44:42
%S A017464 1296,83521,614656,2313441,6250000,13845841,26873856,47458321,
%T A017464 78074896,121550625,181063936,260144641,362673936,492884401,655360000,
%U A017464 855036081,1097199376,1387488001,1731891456,2136750625,2608757776,3154956561,3782742016,4499860561,5314410000
%N A017464 a(n) = (11*n + 6)^4.
%H A017464 Vincenzo Librandi, <a href="/A017464/b017464.txt">Table of n, a(n) for n = 0..10000</a>
%H A017464 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A017464 From _G. C. Greubel_, Sep 19 2019: (Start)
%F A017464 G.f.: (1296 +77041*x +210011*x^2 +62411*x^3 +625*x^4)/(1-x)^5.
%F A017464 E.g.f.: (1296 +82225*x +224455*x^2 +119790*x^3 +14641*x^4)*exp(x). (End)
%p A017464 seq((11*n+6)^4, n=0..30); # _G. C. Greubel_, Sep 19 2019
%t A017464 (11*Range[30] -5)^4 (* _G. C. Greubel_, Sep 19 2019 *)
%t A017464 LinearRecurrence[{5,-10,10,-5,1},{1296,83521,614656,2313441,6250000},30] (* _Harvey P. Dale_, Oct 11 2021 *)
%o A017464 (Magma) [(11*n+6)^4: n in [0..30]]; // _Vincenzo Librandi_, Sep 03 2011
%o A017464 (PARI) vector(30, n, (11*n-5)^4) \\ _G. C. Greubel_, Sep 19 2019
%o A017464 (Sage) [(11*n+5)^4 for n in (0..30)] # _G. C. Greubel_, Sep 19 2019
%o A017464 (GAP) List([0..30], n-> (11*n+6)^4); # _G. C. Greubel_, Sep 19 2019
%Y A017464 Powers of the form (11*n+6)^m: A017461 (m=1), A017462 (m=2), A017463 (m=3), this sequence (m=4), A017465 (m=5), A017466 (m=6), A017467 (m=7), A017468 (m=8), A017469 (m=9), A017470 (m=10), A017471 (m=11), A017472 (m=12).
%K A017464 nonn,easy
%O A017464 0,1
%A A017464 _N. J. A. Sloane_