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 A253182 #16 Apr 01 2015 10:25:08 %S A253182 4,3,1,5,38,2,1,65,1,1,2,2,3,5,1,1,38,1,1,1,5,16,1,1,1,1,5,1,97,1,1,1, %T A253182 1,1,1,10,4,1,6,3,3,10,6,1,2,1,1,1,1,1,2,2,1,2,2,2,1,1,1,1,1,4,5,1,14, %U A253182 2,5,12,2,2,2,2,1,3,2,1,1,2,4,1,1,6,3,1,4,2,1,1,1,1 %N A253182 The continued fraction expansion of e! (A178394). %C A253182 The increasing partial quotients (after the initial 4) are 3, 5, 38, 65, 97, 98, 239, 644, 3395, 11360, 14473, 263721, ..., . %e A253182 Gamma(e+1) = 4.2608204763570033817001212246457024649334243739593219749116... %e A253182 = 4 + 1/(3 + 1/(1 + 1/(5 + 1/(38 + ...)))) %e A253182 = [a_0; a_1, a_2, a_3, ...] = [4; 3, 1, 5, 38, ...] %t A253182 ContinuedFraction[E!, 90] %o A253182 (PARI) default(realprecision, 100); contfrac(gamma(exp(1)+1)) \\ _Michel Marcus_, Mar 24 2015 %Y A253182 Cf. A178394, A255196. %K A253182 nonn,cofr,easy %O A253182 0,1 %A A253182 _Robert G. Wilson v_, Mar 23 2015