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.

A017354 a(n) = (10*n + 7)^2.

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%I A017354 #22 Apr 29 2025 18:35:54
%S A017354 49,289,729,1369,2209,3249,4489,5929,7569,9409,11449,13689,16129,
%T A017354 18769,21609,24649,27889,31329,34969,38809,42849,47089,51529,56169,
%U A017354 61009,66049,71289,76729,82369,88209
%N A017354 a(n) = (10*n + 7)^2.
%H A017354 Vincenzo Librandi, <a href="/A017354/b017354.txt">Table of n, a(n) for n = 0..10000</a>
%H A017354 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A017354 a(n) = 40*A000566(n+1) + 9. - Ken Rosenbaum, Dec 02 2009
%F A017354 G.f.: ( -49-142*x-9*x^2 ) / (x-1)^3. - _R. J. Mathar_, Mar 21 2016
%t A017354 Table[(10n+7)^2,{n,0,24}]
%t A017354 LinearRecurrence[{3,-3,1},{49,289,729},40] (* _Harvey P. Dale_, Apr 29 2025 *)
%o A017354 (Magma) [(10*n+7)^2: n in [0..35]]; // _Vincenzo Librandi_, Aug 03 2011
%o A017354 (PARI) a(n)=(10*n+7)^2 \\ _Charles R Greathouse IV_, Jun 17 2017
%K A017354 nonn,easy
%O A017354 0,1
%A A017354 _N. J. A. Sloane_