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

0,3

Comments

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

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

Formula

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

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

Example

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.

Prog

(PARI) See Links section.

Crossrefs

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

Sequence in context: A086433 A102568 A338834 * A210536 A102767 A356385

Adjacent sequences: A338832 A338833 A338834 * A338836 A338837 A338838

Keyword

nonn,base

Author

Rémy Sigrist, Nov 11 2020

Status

approved