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.
%I A298078 #58 Jul 05 2021 11:59:17 %S A298078 -43,-29,-1,41,97,167,251,349,461,587,727,881,1049,1231,1427,1637, %T A298078 1861,2099,2351,2617,2897,3191,3499,3821,4157,4507,4871,5249,5641, %U A298078 6047,6467,6901,7349,7811,8287,8777,9281,9799,10331,10877,11437,12011,12599,13201,13817,14447,15091,15749,16421,17107 %N A298078 a(n) = 7*n^2 - 7*n - 43. %H A298078 Colin Barker, <a href="/A298078/b298078.txt">Table of n, a(n) for n = 1..1000</a> %H A298078 Charles Kusniec, <a href="/A298078/a298078.jpg">Modularity Study For U(L;C)=7L^2-7L-43</a> %H A298078 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1). %F A298078 From _Colin Barker_, Jan 14 2018: (Start) %F A298078 G.f.: -x*(43 - 100*x + 43*x^2) / (1 - x)^3. %F A298078 a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>3. (End) %F A298078 E.g.f.: 43 + exp(x)*(-43 + 7*x^2). - _Stefano Spezia_, Oct 17 2019 %t A298078 Array[7 #^2 - 7 # - 43 &, 48] (* _Michael De Vlieger_, Jan 11 2018 *) %t A298078 LinearRecurrence[{3,-3,1},{-43,-29,-1},50] (* _Harvey P. Dale_, Jul 05 2021 *) %o A298078 (PARI) Vec(-x*(43 - 100*x + 43*x^2) / (1 - x)^3 + O(x^60)) \\ _Colin Barker_, Jan 14 2018 %Y A298078 Cf. A272077. %K A298078 sign,easy %O A298078 1,1 %A A298078 _Charles Kusniec_, Jan 11 2018