A334363 - OEIS

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

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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]]