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 A372340 #8 Aug 02 2024 12:52:13 %S A372340 2,7,8,8,3,9,5,1,7,1,5,8,1,2,8,4,2,1,6,6,8,9,5,3,1,6,1,0,7,9,9,8,3,4, %T A372340 1,7,4,9,3,1,5,1,3,7,4,4,2,9,3,9,9,3,7,3,7,5,3,0,7,5,8,1,8,1,0,5,6,9, %U A372340 2,0,5,4,5,3,9,0,2,3,3,0,5,6,7,8,5,5 %N A372340 Decimal expansion of Sum_{k>=0} k /((k+1)*(2k)!). %F A372340 Equals -2 + 3 cosh(1) - 2 sinh(1). %F A372340 Equals 1F2(2; 3/2,3; 1/4)/4. - _R. J. Mathar_, Aug 02 2024 %e A372340 0.278839517158128421668953161079983417493... %t A372340 s = Sum[k/((k + 1) (2 k)!), {k, 0, Infinity}] %t A372340 d = N[s, 100] %t A372340 First[RealDigits[d]] %Y A372340 Cf. A371745, A372339. %K A372340 nonn,cons %O A372340 0,1 %A A372340 _Clark Kimberling_, May 01 2024