A334365 - OEIS

%I #17 Nov 26 2024 13:21:35

%S 1,6,6,8,6,5,1,0,4,4,1,7,9,5,2,4,7,5,1,1,4,9,3,9,7,6,4,4,8,2,6,5,0,9,

%T 0,7,7,6,6,5,7,7,4,6,0,2,6,7,8,6,2,4,0,2,2,7,8,4,0,6,8,5,1,5,1,0,6,9,

%U 8,5,8,1,4,5,6,5,4,2,1,1,3,3,2,9,2,3,8,8,5,4,2,7,3,2,8,5,3,4,7,9,9,3,0,3,5,2,4,7,7,0,9

%N Decimal expansion of Sum_{k>=0} 1/(4*k+3)!.

%H Michael I. Shamos, <a href="http://euro.ecom.cmu.edu/people/faculty/mshamos/cat.pdf">A catalog of the real numbers</a>, (2011). See p. 209.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%F Equals (sinh(1) - sin(1))/2.

%e 1/3! + 1/7! + 1/11! + ... = 0.1668651044179524751...

%t RealDigits[(Sinh[1] - Sin[1])/2, 10, 111] [[1]]

%o (PARI) suminf(k=0, 1/(4*k+3)!) \\ _Michel Marcus_, Apr 25 2020

%Y Cf. A001113, A049469, A073742, A332890, A334363, A334364.

%K nonn,cons

%O 0,2

%A _Ilya Gutkovskiy_, Apr 24 2020