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A200089 Decimal expansion of sum of reciprocals of squares of partition numbers. 1
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 (list; constant; graph; refs; listen; history; text; internal format)
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 * A117956 A241638 A110662

Adjacent sequences:  A200086 A200087 A200088 * A200090 A200091 A200092

KEYWORD

cons,nonn

AUTHOR

Arkadiusz Wesolowski, Nov 17 2011

STATUS

approved

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Last modified October 15 15:03 EDT 2019. Contains 328030 sequences. (Running on oeis4.)