login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 2 15:01 EST 2016. Contains 278678 sequences.