A165723 The (d+1)th digit after the decimal point in the decimal representation of 1/n, where d is the number of digits of n.

0, 0, 3, 5, 0, 6, 4, 2, 1, 0, 0, 3, 6, 1, 6, 2, 8, 5, 2, 0, 7, 5, 3, 1, 0, 8, 7, 5, 4, 3, 2, 1, 0, 9, 8, 7, 7, 6, 5, 5, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset: 1

Author

Kyle Stern, Sep 24 2009

Keywords

• nonn
• base
• easy

Examples

			1/1 = 1.000 so a(1) = 0;
1/4 = 0.250 so a(4) = 5;
1/14 = 0.0714... so a(14) = 1;
1/114 = 0.00877... so a(114) = 7.
		

Links

• K. Stern, Table of n, a(n) for n = 1..500

Programs

Maple

A055642 := proc(n) max(1,ilog10(n)+1) ; end: A165723 := proc(n) local d; d := A055642(n) ; floor(10^(d+1)/n) mod 10 ; end: seq(A165723(n),n=1..100) ; R. J. Mathar, Sep 26 2009

Extensions

More terms from R. J. Mathar, Sep 26 2009