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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 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 * A288953 A192482 A233537 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 March 19 23:02 EDT 2019. Contains 321343 sequences. (Running on oeis4.)