A338835 a(n) is the greatest number not yet in the sequence with the same number of digits and the same sum of digits as n in primorial base.

0, 1, 2, 4, 3, 5, 6, 12, 8, 18, 14, 24, 7, 13, 10, 20, 19, 26, 9, 16, 15, 25, 22, 28, 11, 21, 17, 27, 23, 29, 30, 60, 36, 90, 66, 120, 32, 62, 61, 96, 92, 150, 42, 91, 72, 126, 122, 180, 68, 121, 102, 156, 152, 186, 98, 151, 132, 182, 181, 192, 31, 38, 37, 67

Offset: 0

Author

Rémy Sigrist, Nov 11 2020

Keywords

• nonn
• base

Comments

This sequence is a self-inverse permutation of the nonnegative integers.

Examples

			For n = 8:
- the numbers with 3 digits and sum of digits 2 in primorial base are: 7 ("101"), 8 ("110") and 12 ("200"),
- so a(7) = 12,
     a(8) = 8,
     a(12) = 7.
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..2309
• Rémy Sigrist, Colored scatterplot of the first 2*3*5*7*11*13 terms (where the color is function of A276150(n))
• Rémy Sigrist, PARI program for A338835
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A235224, A276150, A333658, A338829 (decimal analog), A338834 (factorial base analog).

Programs

PARI

See Links section.

Formula

A235224(a(n)) = A235224(n).

A276150(a(n)) = A276150(n).