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.

A017402 a(n) = (11*n+1)^2.

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%I A017402 #18 Dec 25 2022 03:47:09
%S A017402 1,144,529,1156,2025,3136,4489,6084,7921,10000,12321,14884,17689,
%T A017402 20736,24025,27556,31329,35344,39601,44100,48841,53824,59049,64516,
%U A017402 70225,76176,82369,88804,95481,102400
%N A017402 a(n) = (11*n+1)^2.
%H A017402 G. C. Greubel, <a href="/A017402/b017402.txt">Table of n, a(n) for n = 0..1000</a>
%H A017402 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A017402 a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - _Harvey P. Dale_, May 05 2014
%F A017402 From _G. C. Greubel_, Dec 24 2022: (Start)
%F A017402 G.f.: (1 + 141*x + 100*x^2)/(1-x)^3.
%F A017402 E.g.f.: (1 + 143*x + 121*x^2)*exp(x). (End)
%t A017402 (11*Range[0,30]+1)^2 (* or *) LinearRecurrence[{3,-3,1},{1,144,529},30] (* _Harvey P. Dale_, May 05 2014 *)
%o A017402 (PARI) a(n)=(11*n+1)^2 \\ _Charles R Greathouse IV_, Jun 17 2017
%o A017402 (Magma) [(11*n+1)^2: n in [0..50]]; // _G. C. Greubel_, Dec 24 2022
%o A017402 (SageMath) [(11*n+1)^2 for n in range(51)] # _G. C. Greubel_, Dec 24 2022
%Y A017402 Sequences of the form (m*n+1)^2: A000012 (m=0), A000290 (m=1), A016754 (m=2), A016778 (m=3), A016814 (m=4), A016862 (m=5), A016922 (m=6), A016994 (m=7), A017078 (m=8), A017174 (m=9), A017282 (m=10), this sequence (m=11), A017534 (m=12), A134934 (m=14).
%Y A017402 Cf. A017534, A082043.
%K A017402 nonn,easy
%O A017402 0,2
%A A017402 _N. J. A. Sloane_