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 A134758 #18 May 28 2024 05:30:40 %S A134758 1,3,8,23,74,257,930,3439,12878,48629,184766,705443,2704168,10400613, %T A134758 40116614,155117535,601080406,2333606237,9075135318,35345263819, %U A134758 137846528840,538257874461,2104098963742,8233430727623,32247603683124,126410606437777,495918532948130 %N A134758 a(n) = A000984(n) + n. %H A134758 Vincenzo Librandi, <a href="/A134758/b134758.txt">Table of n, a(n) for n = 0..200</a> %F A134758 G.f.: ((1-x)^2 + x*sqrt(1-4*x))/((1-x)^2*sqrt(1-4*x)). - _Harvey P. Dale_, Dec 10 2011 %F A134758 From _G. C. Greubel_, May 28 2024: (Start) %F A134758 E.g.f.: x*exp(x) + exp(2*x)*BesselI(0, 2*x). %F A134758 a(n) = (2*(2*n-1)*a(n-1) - (3*n^2 - 6*n + 2))/n. (End) %t A134758 Table[Binomial[2n,n]+n,{n,0,40}] (* _Harvey P. Dale_, Dec 10 2011 *) %o A134758 (Magma) [n+(n+1)*Catalan(n): n in [0..40]]; // _G. C. Greubel_, May 28 2024 %o A134758 (SageMath) [n+binomial(2*n,n) for n in range(41)] # _G. C. Greubel_, May 28 2024 %Y A134758 Cf. A000984, A134759, A134760, A134761, A134762, A134763, A134770, A134771. %K A134758 nonn %O A134758 0,2 %A A134758 _Gary W. Adamson_, Nov 09 2007 %E A134758 More terms from _Harvey P. Dale_, Dec 10 2011