

A048175


Size of range 1...m generatable from the digits of an ndigit integer and +  x /.


0




OFFSET

2,1


COMMENTS

Let k be an ndigit positive integer, compute all integers that can be formed by combining the digits of k using +  x / and parentheses (but no digit concatenation, exponentiation, or other operators). Let r(k) be the largest range 1...m present in the output set. Then a(n) is the max of r(k) over all ndigit numbers.


LINKS

Table of n, a(n) for n=2..6.


EXAMPLE

a(3)=10 because 1...10 can be made from the digits of 124 ( 1=421, 2=4(2/1), 3=42+1, 4=4/(21), 5=4+21, 6=4+(2/1), 7=4+2+1, 8=4*2/1, 9=4*2+1, 10=(4+1)*2 ) and no 3digit number gives a larger range.


CROSSREFS

Sequence in context: A209902 A049370 A009343 * A192482 A233537 A020132
Adjacent sequences: A048172 A048173 A048174 * A048176 A048177 A048178


KEYWORD

nonn,base,more


AUTHOR

Mike Keith (domnei(AT)aol.com)


STATUS

approved



