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.

A017448 a(n) = (11*n + 4)^12.

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%I A017448 #20 Mar 18 2023 23:09:12
%S A017448 16777216,129746337890625,95428956661682176,6582952005840035281,
%T A017448 149587343098087735296,1779197418239532716881,13841287201000000000000,
%U A017448 79766443076872509863361,367666387654882241806336,1425760886846178945447841
%N A017448 a(n) = (11*n + 4)^12.
%H A017448 G. C. Greubel, <a href="/A017448/b017448.txt">Table of n, a(n) for n = 0..1000</a>
%H A017448 <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).
%F A017448 From _G. C. Greubel_, Sep 18 2019: (Start)
%F A017448 G.f.: (16777216 +129746119786817*x +93742255577726899*x^2 +5352495778795351967*x^3 +71415318201137477061*x^4 +320832301424673327498*x^5 +564873972371695167390*x^6 +409344222142040360670*x^7 +118792245587080463178*x^8 +12267852707472004709*x^9 +338777054867330431*x^10 +1156651444692563*x^11 +13841287201*x^12)/(1-x)^13.
%F A017448 E.g.f.: (16777216 +129746321113409*x +47584732001339071*x^2 +1049509062475313902*x^3 +5159482909556787581*x^4 +9134471516437918728*x^5 +7332895074707269012*x^6 +3022504298573111220*x^7 +683555776881033507*x^8 +86991917430662915*x^9 +6131633113101001*x^10 +220831233052914*x^11 +3138428376721*x^12)*exp(x). (End)
%F A017448 a(n) = 13*a(n-1) - 78*a(n-2) + 286*a(n-3) - 715*a(n-4) + 1287*a(n-5) - 1716*a(n-6) + 1716*a(n-7) - 1287*a(n-8) + 715*a(n-9) - 286*a(n-10) + 78*a(n-11) - 13*a(n-12) + a(n-13). - _Wesley Ivan Hurt_, Mar 18 2023
%p A017448 seq((11*n+4)^12, n=0..20); # _G. C. Greubel_, Sep 18 2019
%t A017448 (11Range[0,20]+4)^12  (* _Harvey P. Dale_, Apr 18 2011 *)
%o A017448 (Magma) [(11*n+4)^12: n in [0..25]]; // _Vincenzo Librandi_, Apr 19 2011
%o A017448 (PARI) vector(20, n, (11*n-7)^12) \\ _G. C. Greubel_, Sep 18 2019
%o A017448 (Sage) [(11*n+4)^12 for n in (0..20)] # _G. C. Greubel_, Sep 18 2019
%o A017448 (GAP) List([0..20], n-> (11*n+4)^12); # _G. C. Greubel_, Sep 18 2019
%Y A017448 Powers of the form (11*n+4)^m: A017437 (m=1), A017438 (m=2), A017439 (m=3), A017440 (m=4), A017441 (m=5), A017442 (m=6), A017443 (m=7), A017444 (m=8), A017445 (m=9), A017446 (m=10), A017447 (m=11), this sequence (m=12).
%K A017448 nonn,easy
%O A017448 0,1
%A A017448 _N. J. A. Sloane_