A386936 Numbers that can be represented using their digits in the order of appearance, the operations +, -, *, /, ^, and any parentheses.

1, 2, 3, 4, 5, 6, 7, 8, 9, 343, 736, 1285, 2187, 2592, 2737, 3125, 3685, 3972, 4096, 6455, 11664, 14641, 15552, 15585, 15617, 15618, 15622, 15624, 15626, 15632, 15645, 15655, 15656, 15662, 15667, 15698, 16377, 16384, 17536, 19683, 23328, 24576, 27639

Offset

1,2

Comments

Each digit is its own operand (no concatenation of digits).

Real and imaginary intermediate values are allowed as long as the final value of the expression is an integer.

Unary minus is not allowed, otherwise we would have 127 = -1 + 2^7. - Sean A. Irvine, Aug 31 2025

Links

Table of n, a(n) for n=1..43.

Walter Robinson, Expressions for Values up to 50000

Example

343 = (3+4)^3.
2737 = (2*7)^3-7.
46688 = (4 + 6^6/8)*8.

Crossrefs

Cf. A036057, A046469, A080035, A156954, A362769.

Sequence in context: A306853 A308110 A306593 * A046469 A335151 A065110

Adjacent sequences: A386933 A386934 A386935 * A386937 A386938 A386939

Keyword

base,nonn

Author

Anuraag Pasula and Walter Robinson, Aug 09 2025

Status

approved