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 A296182 #21 Aug 10 2025 11:59:43 %S A296182 1,8,0,9,0,1,6,9,9,4,3,7,4,9,4,7,4,2,4,1,0,2,2,9,3,4,1,7,1,8,2,8,1,9, %T A296182 0,5,8,8,6,0,1,5,4,5,8,9,9,0,2,8,8,1,4,3,1,0,6,7,7,2,4,3,1,1,3,5,2,6, %U A296182 3,0,2,3,1,4,0,9,4,5,1,2,2,4,8,5,3,6,0,3,6,0,2,0,9,4,6,9,5,5,6 %N A296182 Decimal expansion of (2 + phi)/2, with the golden section phi from A001622. %C A296182 In a regular pentagon this is the distance between a vertex and the midpoint of the opposite side in units of the radius of the circumscribing circle. %H A296182 <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>. %F A296182 Equals (2 + phi)/2 = (5 + sqrt(5))/4 = (2*phi - 1)*phi/2 = with phi from A001622. %F A296182 Equals 1 + A019863. %F A296182 From _Amiram Eldar_, Nov 28 2024: (Start) %F A296182 Equals 1/A322159. %F A296182 Equals Product_{k>=0} (1 + 1/A081003(k)). (End) %e A296182 1.809016994374947424102293417182819058860154589902881431067724311352630231409451... %t A296182 RealDigits[(5 + Sqrt[5])/4, 10, 111][[1]] (* _Robert G. Wilson v_, Jan 14 2018 *) %t A296182 RealDigits[(2+GoldenRatio)/2,10,120][[1]] (* _Harvey P. Dale_, Aug 10 2025 *) %o A296182 (PARI) (5 + sqrt(5))/4 \\ _Michel Marcus_, Jan 08 2018 %Y A296182 Cf. A001622, A019863, A081003, A322159. %K A296182 nonn,cons,easy %O A296182 1,2 %A A296182 _Wolfdieter Lang_, Jan 08 2018