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 A319842 #20 Apr 11 2019 17:06:47 %S A319842 8,89,897,8978,89786,897867,8978675,89786756,897867564,8978675645, %T A319842 89786756453,897867564534,8978675645342,89786756453423, %U A319842 897867564534231,8978675645342312,89786756453423120,897867564534231201,8978675645342312009,89786756453423120090,897867564534231200898,8978675645342312008979 %N A319842 a(n) = 8 * A104720(n) + ceiling(n/2). %H A319842 Colin Barker, <a href="/A319842/b319842.txt">Table of n, a(n) for n = 0..900</a> %H A319842 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (11,-9,-11,10). %F A319842 a(n) = (198*n - 243*(-1)^n + 2^(n+8)*5^(n+3) - 3245)/3564. %F A319842 From _Colin Barker_, Sep 29 2018: (Start) %F A319842 G.f.: (8 + x - 10*x^2) / ((1 - x)^2*(1 + x)*(1 - 10*x)). %F A319842 a(n) = 11*a(n-1) - 9*a(n-2) - 11*a(n-3) + 10*a(n-4) for n>3. %F A319842 (End) %t A319842 a[n_]:=(198*n - 243*(-1)^n + 2^(n+8)*5^(n+3) - 3245)/3564; Array[a, 50, 0] (* _Stefano Spezia_, Sep 29 2018 *) %t A319842 LinearRecurrence[{11,-9,-11,10},{8,89,897,8978},40] (* _Harvey P. Dale_, Apr 11 2019 *) %o A319842 (PARI) {a(n) = (198*n-243*(-1)^n+2^(n+8)*5^(n+3)-3245)/3564} %o A319842 (PARI) Vec((8 + x - 10*x^2) / ((1 - x)^2*(1 + x)*(1 - 10*x)) + O(x^25)) \\ _Colin Barker_, Sep 29 2018 %Y A319842 Cf. A104720, A110654. %K A319842 nonn,easy %O A319842 0,1 %A A319842 _Seiichi Manyama_, Sep 29 2018