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

0,3

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.

Links

Table of n, a(n) for n=0..55.

Example

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

Mathematica

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

Crossrefs

Cf. A002808, A036691, A049345.

Sequence in context: A301382 A288657 A055655 * A276326 A007090 A102859

Adjacent sequences: A371027 A371028 A371029 * A371031 A371032 A371033

Keyword

nonn,base,less

Author

James C. McMahon, Mar 08 2024

Status

approved