A371030 Contribution to the OEIS

 

A371030 n written in compositorial base. 0

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 (list; graph; refs; listen; history; edit; text; internal format)

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