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 A295330 #18 Feb 11 2025 09:37:41 %S A295330 1,8,0,2,7,7,5,6,3,7,7,3,1,9,9,4,6,4,6,5,5,9,6,1,0,6,3,3,7,3,5,2,4,7, %T A295330 9,7,3,1,2,5,6,4,8,2,8,6,9,2,2,6,2,3,1,0,6,3,5,5,2,2,6,5,2,8,1,1,3,5, %U A295330 8,3,4,7,4,1,4,6,5,0,5,2,2,2,6,0,2,3,0,9,5,4,1,0,0,9,2,4,5,3,5,8 %N A295330 Decimal expansion of sqrt(13)/2. %C A295330 In a regular hexagon inscribed in a circle of radius R the largest distance between any vertex and a midpoint of a side, after division of R, is sqrt(13)/2. The two smaller distance ratios are sqrt(7)/2 = A242703 and 1/2. %C A295330 The regular period 6 continued fraction of sqrt(13)/2 is [1; 1, 4, 14, 4, 1, 2], and the convergents are given in A295331/A295332. %C A295330 Essentially the same as A223139, A209927, A098316 and A085550. - _R. J. Mathar_, Nov 23 2017 %H A295330 <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>. %e A295330 1.8027756377319946465596106337352479731256482869226231063552265281135834741465... %t A295330 RealDigits[Sqrt@13/2, 10, 111][[1]] (* _Robert G. Wilson v_, Nov 20 2017 *) %o A295330 (PARI) sqrt(13)/2 \\ _Michel Marcus_, Nov 21 2017 %Y A295330 Cf. A010470, A242703, A295331/A295332. %K A295330 nonn,cons %O A295330 1,2 %A A295330 _Wolfdieter Lang_, Nov 20 2017