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

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, 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, 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

Offset

1,2

Links

Vaclav Kotesovec, Table of n, a(n) for n = 1..2000

Eric Weisstein's World of Mathematics, Partition Function P

Formula

Sum_{n=1..inf} 1/(A000041(n))^2 = 1.438692943288226443928253696....

Mathematica

RealDigits[N[Sum[1/PartitionsP[i]^2, {i, 2632}], 105]][[1]] (* Arkadiusz Wesolowski, Jan 29 2012 *)

Crossrefs

Cf. A001255.

Sequence in context: A114562 A189042 A011451 * A330686 A117956 A241638

Adjacent sequences: A200086 A200087 A200088 * A200090 A200091 A200092

Keyword

cons,nonn

Author

Arkadiusz Wesolowski, Nov 17 2011

Status

approved