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 A372338 #16 Aug 02 2024 12:33:58
%S A372338 2,8,0,7,3,2,1,7,5,2,4,7,2,3,5,9,1,3,5,2,8,6,8,5,8,0,8,0,4,3,4,1,3,9,
%T A372338 9,4,7,7,0,9,9,0,6,8,5,0,3,0,2,3,2,8,0,3,5,7,2,1,7,2,8,6,1,1,3,1,5,8,
%U A372338 4,6,0,7,1,5,5,9,4,2,4,0,9,2,2,4,9,9
%N A372338 Decimal expansion of Sum_{k>=0} (k+2) / ((k+1)*(2k)!).
%F A372338 Equals -4/e + 2 + 3*cosh(1) - 2*sinh(1).
%F A372338 Equals 2*2F3(1,3; 1/2,2,2; 1/4). - _R. J. Mathar_, Aug 02 2024
%e A372338 2.8073217524723591352868580804341...
%t A372338 s = Sum[(k + 2)/((k + 1) (2 k)!), {k, 0, Infinity}]
%t A372338 d = N[s, 100]
%t A372338 First[RealDigits[d]]
%Y A372338 Cf. A073742, A073743, A372339.
%K A372338 nonn,cons
%O A372338 1,1
%A A372338 _Clark Kimberling_, Apr 28 2024