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

Author

Anuraag Pasula and Walter Robinson, Aug 09 2025

Keywords

• base
• nonn
• changed

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

Examples

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

Links

• Walter Robinson, Expressions for Values up to 50000

Crossrefs

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