[go: up one dir, main page]

login
A157425
Numbers which can be represented using fewer symbols than the number of decimal digits in the number.
0
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
1,1
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]
EXAMPLE
120=5!, 125=5^3, ..., 59050 = 9^5 + 1, ..., 1354984 = 9^6 + 7^7, ...
CROSSREFS
Sequence in context: A085218 A296884 A117645 * A030501 A271578 A376151
KEYWORD
base,nonn
AUTHOR
Alan Frank, Feb 28 2009
EXTENSIONS
Edited by N. J. A. Sloane, Mar 27 2009
Corrected and extended by Sean A. Irvine, Mar 14 2010
STATUS
approved