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

1,1

Comments

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

Links

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

Formula

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

Example

4.6734445793163451750334174346113053985897...

Mathematica

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

Crossrefs

Cf. A000009, A078506, A303662.

Sequence in context: A021218 A298974 A344983 * A200939 A244816 A197585

Adjacent sequences: A237512 A237513 A237514 * A237516 A237517 A237518

Keyword

nonn,cons

Author

Jean-François Alcover, Feb 24 2014

Status

approved