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.

1, 2, 4, 19, 89, 653, 5683, 48529, 667021, 8480902

Offset

1,2

Links

Table of n, a(n) for n=1..10.

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

Adjacent sequences: A363300 A363301 A363302 * A363304 A363305 A363306

Keyword

nonn,base,fini,full

Author

Albert Lindsey Zobrist, May 26 2023

Extensions

a(10) from Michael S. Branicky, May 31 2023

Status

approved