A371030 n written in compositorial base.

0, 1, 2, 3, 10, 11, 12, 13, 20, 21, 22, 23, 30, 31, 32, 33, 40, 41, 42, 43, 50, 51, 52, 53, 100, 101, 102, 103, 110, 111, 112, 113, 120, 121, 122, 123, 130, 131, 132, 133, 140, 141, 142, 143, 150, 151, 152, 153, 200, 201, 202, 203, 210, 211, 212, 213

Offset: 0

Author

James C. McMahon, Mar 08 2024

Keywords

• nonn
• base
• less

Comments

Compositorial base is a mixed-radix representation using the composite numbers (A002808) from least to most significant.

Places reading from right have values (1, 4, 24, 192, ...) = compositorial numbers (A036691).

a(n) = concatenation of decimal digits of n in compositorial base. This concatenated representation is unsatisfactory for large n (above 172799), when coefficients of 10 or greater start to appear.

Examples

			a(35)=123; 35 = 1*24 + 2*4 + 3*1.
		

Crossrefs

Cf. A002808, A036691, A049345.

Programs

Mathematica

Table[FromDigits@ IntegerDigits[n,MixedRadix[Reverse@ ResourceFunction["Composite"]@ Range@ 8]], {n, 0,55}]