cp's OEIS Frontend

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).

%I A237515 #47 May 25 2023 08:10:02
%S A237515 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,
%T A237515 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,
%U A237515 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
%N 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).
%C A237515 Conjecture: This number is transcendental. - _Zhi-Wei Sun_, May 24 2023
%H A237515 Vaclav Kotesovec, <a href="/A237515/b237515.txt">Table of n, a(n) for n = 1..750</a> (terms 1..100 from Jean-Francois Alcover)
%F A237515 Sum_{n>=1} 1/A000009(n). - _Vaclav Kotesovec_, Dec 08 2015
%e A237515 4.6734445793163451750334174346113053985897...
%t A237515 digits = 100; NSum[1/PartitionsQ[n], {n, 1, Infinity}, NSumTerms -> 15000, WorkingPrecision -> digits+1] // RealDigits[#, 10, digits]& // First
%Y A237515 Cf. A000009, A078506, A303662.
%K A237515 nonn,cons
%O A237515 1,1
%A A237515 _Jean-François Alcover_, Feb 24 2014