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

Author

Marco Ripà, Jan 04 2021

Keywords

• cons
• nonn
• more
• hard

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).

Examples

			1.0560844174127355366763...
		

Crossrefs

Cf. A000372, A007153.

Formula

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