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A200089 Decimal expansion of sum of reciprocals of squares of partition numbers.

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%I A200089 #31 Feb 16 2025 08:33:16
%S A200089 1,4,3,8,6,9,2,9,4,3,2,8,8,2,2,6,4,4,3,9,2,8,2,5,3,6,9,6,2,0,3,7,4,9,
%T A200089 1,4,2,8,5,1,7,2,3,1,9,3,7,9,6,1,0,8,4,4,0,4,3,6,3,4,1,6,9,7,3,2,3,4,
%U A200089 4,5,6,2,6,6,2,8,4,1,1,4,1,2,4,8,2,0,5,7,1,7,3,8,1,6,7,0,8,8,3,1,3,8,5,2,7
%N A200089 Decimal expansion of sum of reciprocals of squares of partition numbers.
%H A200089 Vaclav Kotesovec, <a href="/A200089/b200089.txt">Table of n, a(n) for n = 1..2000</a>
%H A200089 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PartitionFunctionP.html">Partition Function P</a>
%F A200089 Sum_{n=1..inf} 1/(A000041(n))^2 = 1.438692943288226443928253696....
%t A200089 RealDigits[N[Sum[1/PartitionsP[i]^2, {i, 2632}], 105]][[1]] (* _Arkadiusz Wesolowski_, Jan 29 2012 *)
%Y A200089 Cf. A001255.
%K A200089 cons,nonn
%O A200089 1,2
%A A200089 _Arkadiusz Wesolowski_, Nov 17 2011