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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
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
KEYWORD
nonn,cons
AUTHOR
STATUS
approved