A217702 Decimal expansion of sum(n>=0, 1/(1+n!)).

1, 5, 2, 6, 0, 6, 8, 1, 3, 4, 4, 7, 3, 3, 3, 0, 8, 2, 4, 7, 7, 8, 0, 4, 7, 2, 2, 5, 1, 6, 2, 4, 3, 8, 4, 0, 5, 4, 4, 9, 7, 5, 4, 2, 4, 0, 4, 6, 6, 4, 6, 5, 6, 5, 0, 7, 5, 8, 3, 6, 5, 6, 5, 1, 6, 7, 9, 5, 7, 4, 7, 1, 1, 4, 7, 2, 0, 2, 5, 2, 3, 8, 8, 0, 1, 8, 1, 6, 0, 9, 7, 3, 1, 1, 7, 7, 3, 6, 3, 0

Offset

1,2

Comments

Is there any known closed form for this sum?

Links

Table of n, a(n) for n=1..100.

Example

1.526068134473330824778047225162438405449754240466465650758365651679...

Mathematica

digits = 100; NSum[1/(1 + n!), {n, 0, Infinity}, NSumTerms -> digits, WorkingPrecision -> digits+5] // RealDigits[#, 10, digits]& // First

Crossrefs

Sequence in context: A253384 A175557 A332455 * A018247 A152025 A021099

Adjacent sequences: A217699 A217700 A217701 * A217703 A217704 A217705

Keyword

nonn,cons

Author

Jean-François Alcover, Mar 20 2013

Status

approved