A199045 Smallest multiple of 2^n having in decimal representation exactly n digits <= 2.

2, 12, 112, 1120, 10112, 101120, 1002112, 10010112, 100101120, 1001011200, 10002010112, 100012122112, 1000121221120, 10001212211200, 100002002010112, 1000000210010112, 10000002100101120, 100000021001011200, 1000000210010112000, 10000000201221210112

Offset

1,1

Comments

A050621(n) <= a(n) < A050621(n+1); A054055(a(n)) <= 2.

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..32

Example

n=3: A050621(3) = 104 = 8 * 13, a(3) = 112 = 8 * 14;
n=4: A050621(4) = 1008 = 16 * 63, a(4) = 1120 = 16 * 70.

Prog

(Haskell)
a199045 n = head $
   filter ((<= 2) . a054055) $ map (* 2^n) [a034478 (n-1)..]

Crossrefs

Cf. A000079, A034478, A159952.

Sequence in context: A212659 A191895 A047855 * A009232 A349311 A218222

Adjacent sequences: A199042 A199043 A199044 * A199046 A199047 A199048

Keyword

nonn,base

Author

Reinhard Zumkeller, Nov 02 2011

Status

approved