A348374 - OEIS

%I #6 Oct 16 2021 06:13:50

%S 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 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 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 Decimal expansion of e + sin(1).

%H 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 Equals Sum_{k>=0} (16*k^2 + 20*k + 7)/(4*k + 2)! (Sȋntămărian, 2014).

%F Equals Sum_{k>=0} (1/(4*k)! + 2/(4*k + 1)! + 1/(4*k + 2)!).

%F Equals 3 + Sum_{k>=1} 1/A068878(k).

%F Equals A001113 + A049469.

%e 3.55975281326694174201278979298296149737981015449833...

%t RealDigits[E + Sin[1], 10, 100][[1]]

%Y Cf. A001113, A049469, A068878.

%K nonn,cons,easy

%O 1,1

%A _Amiram Eldar_, Oct 15 2021