A157425 Numbers which can be represented using fewer symbols than the number of decimal digits in the number.

120, 125, 128, 216, 243, 256, 343, 512, 625, 720, 729, 1000, 1024, 1089, 1156, 1225, 1296, 1331, 1369, 1444, 1521, 1600, 1681, 1728, 1764, 1849, 1936, 2025, 2048, 2116, 2187, 2197, 2209, 2304, 2401, 2500, 2601, 2704, 2744, 2809, 2916, 3025, 3125, 3136

Offset: 1

Author

Alan Frank, Feb 28 2009

Keywords

• base
• nonn

Comments

The "up-arrow" symbol is free, since that is indicated by a superscript.

Additional terms are possible if the double factorial (!!) operator is permitted. [From Sean A. Irvine, Mar 14 2010]

Examples

			120=5!, 125=5^3, ..., 59050 = 9^5 + 1, ..., 1354984 = 9^6 + 7^7, ...
		

Extensions

Edited by N. J. A. Sloane, Mar 27 2009

Corrected and extended by Sean A. Irvine, Mar 14 2010