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).

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

Author

Jaroslav Krizek, Apr 19 2015

Keywords

• nonn
• base
• cons

Comments

Since there are only finitely many such numbers, the sum is rational.

Examples

			2009584261...2790050791 (1292 digits)
-------------------------------------- = 3.8984067369990536473445962607....
5154886078...0332960000 (1291 digits)
		

Crossrefs

Cf. A009995, A117914.

Programs

Magma

m:=&+[1/k: k in [A009995(n)]]; Reverse(Intseq(Floor(10^104*m)));