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A334363 Decimal expansion of Sum_{k>=0} 1/(4*k+1)!.

%I A334363 #16 Apr 05 2024 08:17:40
%S A334363 1,0,0,8,3,3,6,0,8,9,2,2,5,8,4,8,9,8,1,7,6,7,4,4,2,0,8,6,1,1,2,9,4,9,
%T A334363 9,0,7,3,8,9,1,4,0,5,2,1,0,6,6,2,3,3,4,6,7,9,5,1,1,5,8,5,6,1,5,0,2,6,
%U A334363 0,8,9,8,5,8,4,7,7,8,1,7,8,2,2,7,7,8,7,8,5,9,7,8,1,6,3,3,8,0,4,3,8,4,7,3,8,4,2,8,5,6
%N A334363 Decimal expansion of Sum_{k>=0} 1/(4*k+1)!.
%H A334363 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. 36.
%F A334363 Equals (sin(1) + sinh(1))/2.
%e A334363 1/1! + 1/5! + 1/9! + ... = 1.008336089225848981767442...
%t A334363 RealDigits[(Sin[1] + Sinh[1])/2, 10, 110] [[1]]
%o A334363 (PARI) suminf(k=0, 1/(4*k+1)!) \\ _Michel Marcus_, Apr 25 2020
%Y A334363 Cf. A001113, A049469, A073742, A143820, A332890, A334364, A334365.
%K A334363 nonn,cons
%O A334363 1,4
%A A334363 _Ilya Gutkovskiy_, Apr 24 2020