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A048175 Size of range 1...m generatable from the digits of an n-digit integer and + - x /. 0
3, 10, 51, 192, 963 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

Let k be an n-digit 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 n-digit 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=4-2-1, 2=4-(2/1), 3=4-2+1, 4=4/(2-1), 5=4+2-1, 6=4+(2/1), 7=4+2+1, 8=4*2/1, 9=4*2+1, 10=(4+1)*2 ) and no 3-digit 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

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Last modified October 2 04:45 EDT 2014. Contains 247527 sequences.