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A348374 Decimal expansion of e + sin(1).

%I A348374 #9 Aug 20 2025 14:22:05
%S A348374 3,5,5,9,7,5,2,8,1,3,2,6,6,9,4,1,7,4,2,0,1,2,7,8,9,7,9,2,9,8,2,9,6,1,
%T A348374 4,9,7,3,7,9,8,1,0,1,5,4,4,9,8,3,3,0,6,4,0,6,3,9,7,1,9,3,3,7,7,1,5,9,
%U A348374 8,7,0,3,4,7,4,4,7,8,7,2,6,3,5,2,0,0,2,1,9,2,2,0,6,8,2,1,9,1,2,3,2,8,1,8,1
%N A348374 Decimal expansion of e + sin(1).
%H A348374 Alina Sȋntămărian, <a href="https://www2.cms.math.ca/Concours/DOCM/2016/CRUXv40n2-FreeSample.pdf">Problem 3920</a>, Crux Mathematicorum, Vol. 40, No. 2 (2014), p. 75; <a href="https://cms.math.ca/wp-content/uploads/crux-pdfs/CRUXv41n2.pdf">Solution to Problem 3920</a>, ibid., Vol. 41, No. 2 (2015), pp. 88-90.
%F A348374 Equals Sum_{k>=0} (16*k^2 + 20*k + 7)/(4*k + 2)! (Sȋntămărian, 2014).
%F A348374 Equals Sum_{k>=0} (1/(4*k)! + 2/(4*k + 1)! + 1/(4*k + 2)!).
%F A348374 Equals 3 + Sum_{k>=1} 1/A068878(k).
%F A348374 Equals A001113 + A049469.
%e A348374 3.55975281326694174201278979298296149737981015449833...
%t A348374 RealDigits[E + Sin[1], 10, 100][[1]]
%o A348374 (PARI) exp(1) + sin(1) \\ _Stefano Spezia_, Aug 20 2025
%Y A348374 Cf. A001113, A049469, A068878.
%K A348374 nonn,cons,easy
%O A348374 1,1
%A A348374 _Amiram Eldar_, Oct 15 2021