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 A187206 #30 Apr 03 2025 17:16:02 %S A187206 138,282,426,570,714,858,1002,1146,1290,1434,1578,1722,1866,2010,2154, %T A187206 2298,2442,2586,2730,2874,3018,3162,3306,3450,3594,3738,3882,4026, %U A187206 4170,4314,4458,4602,4746,4890,5034,5178,5322,5466,5610,5754,5898,6042,6186,6330,6474,6618 %N A187206 a(n) = 6*(24*n - 1). %C A187206 The expression 6*(24*n - 1) is mentioned in the Bruinier-Ono paper (see theorem 1.1 and chapter 5). %H A187206 Vincenzo Librandi, <a href="/A187206/b187206.txt">Table of n, a(n) for n = 1..10000</a> %H A187206 J. H. Bruinier and K. Ono, <a href="http://www.aimath.org/news/partition/brunier-ono.pdf">Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms</a>. %H A187206 E. Larson and L. Rolen, <a href="http://arxiv.org/abs/1107.4114">Integrality properties of the CM-values of certain weak Maass forms</a>. %H A187206 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1). %F A187206 a(n) = 6*A183010(n). %F A187206 From _Elmo R. Oliveira_, Apr 03 2025: (Start) %F A187206 G.f.: 6*x*(x + 23)/(1 - x)^2. %F A187206 E.g.f.: 6*(exp(x)*(24*x - 1) + 1). %F A187206 a(n) = 2*a(n-1) - a(n-2) for n > 2. (End) %t A187206 144*Range[40]-6 (* _Harvey P. Dale_, Jul 20 2011 *) %o A187206 (Magma) [6*(24*n - 1): n in [1..45]]; // _Vincenzo Librandi_, Jul 12 2011 %o A187206 (PARI) a(n)=144*n-6 \\ _Charles R Greathouse IV_, Nov 03 2011 %Y A187206 Cf. A000041, A183009, A183010, A183011. %K A187206 nonn,easy %O A187206 1,1 %A A187206 _Omar E. Pol_, Jul 09 2011