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 A014942 #16 May 21 2025 01:35:19 %S A014942 1,49,1777,57073,1715953,49491697,1387212529,38078983921, %T A014942 1028756811505,27446832213745,724884022832881,18985057740861169, %U A014942 493749574409596657,12764586312924606193,328300388160453422833,8406016915457191128817,214387788361524002631409,5448748098049810036109041 %N A014942 a(n) = (1 + 24^n*(23*n - 1))/529. %H A014942 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (49,-624,576). %F A014942 a(n) = a(n-1) + n*24^(n-1). %F A014942 a(n)= 49*a(n-1) - 624*a(n-2) + 576*a(n-3) for n > 3. %F A014942 G.f.: x/((1-x)*(1-24*x)^2). - _Joerg Arndt_, May 23 2010 %F A014942 From _Elmo R. Oliveira_, May 18 2025: (Start) %F A014942 E.g.f.: exp(x)*(1 + exp(23*x)*(552*x - 1))/529. %F A014942 a(n) = 48*a(n-1) - 576*a(n-2) + 1 for n > 2. (End) %t A014942 a[1] = 1; a[n_Integer] := a[n - 1] + n*24^(n - 1); Table[ a[n], {n, 1, 20}] %o A014942 (PARI) Vec(-x/((x-1)*(24*x-1)^2) + O(x^19)) \\ _Elmo R. Oliveira_, May 18 2025 %Y A014942 Cf. A014960. %K A014942 nonn,easy %O A014942 1,2 %A A014942 _Olivier Gérard_ %E A014942 More terms from _Robert G. Wilson v_, Sep 15 2000 %E A014942 Exchanged Lava formula of Jan 2009 with the definition [_R. J. Mathar_, May 23 2010]