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A363303
Smallest positive integer that cannot be obtained from an expression consisting of digits 0,1,...,n-1, each used exactly once, and any mix of the four arithmetic operations +-*/ plus balanced parentheses. Digits may be concatenated as in 210+34. Neither unary minus signs nor exponents are allowed.
0
1, 2, 4, 19, 89, 653, 5683, 48529, 667021, 8480902
OFFSET
1,2
FORMULA
a(n+1) > a(n) for all n.
EXAMPLE
For n = 3, a(3) = 4 because 1+0*2 is 1 and 2+0*1 is 2 and 2+1+0 is 3 but there is no expression that yields 4.
CROSSREFS
Sequence in context: A226891 A362350 A289269 * A272988 A168246 A212923
KEYWORD
nonn,base,fini,full
AUTHOR
EXTENSIONS
a(10) from Michael S. Branicky, May 31 2023
STATUS
approved