A237515 Decimal expansion of the sum of reciprocals of the strict partition function (the function giving the number of partitions of an integer into distinct parts).

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

Offset: 1

Author

Jean-François Alcover, Feb 24 2014

Keywords

• nonn
• cons

Comments

Conjecture: This number is transcendental. - Zhi-Wei Sun, May 24 2023

Examples

			4.6734445793163451750334174346113053985897...
		

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 1..750 (terms 1..100 from Jean-Francois Alcover)

Crossrefs

Cf. A000009, A078506, A303662.

Programs

Mathematica

digits = 100; NSum[1/PartitionsQ[n], {n, 1, Infinity}, NSumTerms -> 15000, WorkingPrecision -> digits+1] // RealDigits[#, 10, digits]& // First

Formula

Sum_{n>=1} 1/A000009(n). - Vaclav Kotesovec, Dec 08 2015