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A256955
Decimal expansion of the sum of the reciprocals of all positive integers with digits in strictly decreasing order (there are exactly 1022 such integers - see A009995).
0
3, 8, 9, 8, 4, 0, 6, 7, 3, 6, 9, 9, 9, 0, 5, 3, 6, 4, 7, 3, 4, 4, 5, 9, 6, 2, 6, 0, 7, 2, 4, 8, 7, 3, 7, 8, 3, 8, 4, 9, 6, 0, 2, 0, 4, 7, 9, 0, 3, 4, 1, 2, 5, 7, 4, 6, 8, 2, 7, 8, 5, 8, 6, 5, 1, 0, 8, 7, 8, 8, 6, 0, 4, 6, 9, 5, 6, 4, 8, 6, 3, 6, 3, 4, 7, 8, 6, 5, 6, 0, 1, 0, 6, 5, 8, 2, 6, 8, 8, 7, 7, 2, 8, 9
OFFSET
1,1
COMMENTS
Since there are only finitely many such numbers, the sum is rational.
EXAMPLE
2009584261...2790050791 (1292 digits)
-------------------------------------- = 3.8984067369990536473445962607....
5154886078...0332960000 (1291 digits)
PROG
(Magma) m:=&+[1/k: k in [A009995(n)]]; Reverse(Intseq(Floor(10^104*m)))
CROSSREFS
Sequence in context: A079591 A179047 A185067 * A197040 A217870 A154927
KEYWORD
nonn,base,cons
AUTHOR
Jaroslav Krizek, Apr 19 2015
STATUS
approved