login
A200089
Decimal expansion of sum of reciprocals of squares of partition numbers.
2
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
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
KEYWORD
cons,nonn
AUTHOR
STATUS
approved