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

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, 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, 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

Offset

1,4

Links

Table of n, a(n) for n=1..110.

Michael I. Shamos, A catalog of the real numbers, (2011). See p. 36.

Formula

Equals (sin(1) + sinh(1))/2.

Example

1/1! + 1/5! + 1/9! + ... = 1.008336089225848981767442...

Mathematica

RealDigits[(Sin[1] + Sinh[1])/2, 10, 110] [[1]]

Prog

(PARI) suminf(k=0, 1/(4*k+1)!) \\ Michel Marcus, Apr 25 2020

Crossrefs

Cf. A001113, A049469, A073742, A143820, A332890, A334364, A334365.

Sequence in context: A021016 A269296 A371502 * A200230 A069995 A199863

Adjacent sequences: A334360 A334361 A334362 * A334364 A334365 A334366

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Apr 24 2020

Status

approved