A348374 Decimal expansion of e + sin(1).

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, 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, 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

Offset

1,1

Links

Table of n, a(n) for n=1..105.

Alina Sȋntămărian, Problem 3920, Crux Mathematicorum, Vol. 40, No. 2 (2014), p. 75; Solution to Problem 3920, ibid., Vol. 41, No. 2 (2015), pp. 88-90.

Formula

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

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

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

Equals A001113 + A049469.

Example

3.55975281326694174201278979298296149737981015449833...

Mathematica

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

Crossrefs

Cf. A001113, A049469, A068878.

Sequence in context: A316938 A112507 A229428 * A029639 A087349 A212631

Adjacent sequences: A348371 A348372 A348373 * A348375 A348376 A348377

Keyword

nonn,cons,easy

Author

Amiram Eldar, Oct 15 2021

Status

approved