A340319 Decimal expansion of sum of reciprocals of Dedekind numbers.

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

Offset

1,3

Comments

The series 1/2 + 1/3 + 1/6 + 1/20 + 1/168 + 1/7581 + 1/7828354 + 1/2414682040998 + 1/56130437228687557907788 + ... converges to 1.0560844174127355366763... (since the number of monotone Boolean functions of n variables is strictly smaller than the number of monotone Boolean functions of (n + 1) variables and the limit of its reciprocal is zero as n approaches infinity).

Links

Table of n, a(n) for n=1..23.

Formula

Equals Sum_{k>=0} 1/A000372(k).

Example

1.0560844174127355366763...

Crossrefs

Cf. A000372, A007153.

Sequence in context: A088602 A194347 A021869 * A103492 A344476 A362529

Adjacent sequences: A340316 A340317 A340318 * A340320 A340321 A340322

Keyword

cons,nonn,more,hard

Author

Marco Ripà, Jan 04 2021

Status

approved