A140117 Numbers n for which A140116(n) uses fewer symbols than A007088(n).

2, 4, 8, 15, 16, 31, 32, 33, 34, 63, 64, 65, 66, 68, 72, 125, 126, 127, 128, 129, 130, 131, 132, 136, 144, 160, 192, 247, 251, 253, 254, 255, 256, 257, 258, 259, 260, 264, 272, 288, 320, 384, 503, 507, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 520, 521

Offset: 1

Author

Rick L. Shepherd, May 08 2008

Keywords

• nonn

Comments

The representation of n given by A140116(n) is more compact than the standard binary form of n for these numbers consisting of a sufficiently large proportion of 0's or of 1's among their bits.

Examples

			See also examples for A140116. 2180 is a term here as 2180 = 100010000100 (base 2), which uses 12 symbols, but A140116(2180) = 10112111210, which uses only 11 symbols including the two delimiter symbols (for which 2 is used).
		

Crossrefs

Cf. A140116, A007088.