A338834 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 factorial base.

0, 1, 2, 4, 3, 5, 6, 12, 8, 18, 14, 20, 7, 13, 10, 19, 16, 22, 9, 15, 11, 21, 17, 23, 24, 48, 30, 72, 54, 96, 26, 50, 49, 78, 74, 102, 36, 73, 60, 98, 97, 108, 56, 84, 80, 104, 103, 114, 25, 32, 31, 55, 52, 79, 28, 51, 42, 76, 75, 100, 38, 66, 62, 99, 90, 110

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..5039

Rémy Sigrist, Colored scatterplot of the first 7! terms (where the color is function of A034968(n))

Rémy Sigrist, PARI program for A338834

Index entries for sequences that are permutations of the natural numbers

Formula

A084558(a(n)) = A084558(n).

A034968(a(n)) = A034968(n).

Example

For n = 26:
- the numbers with 4 digits and sum of digits 2 in factorial base are: 25 ("1001"), 26 ("1010"), 30 ("1100") and 48 ("2000"),
- so a(25) = 40,
     a(26) = 30,
     a(30) = 26,
     a(40) = 25.

Prog

(PARI) See Links section.

Crossrefs

Cf. A034968, A084558, A337598, A338829 (decimal analog), A338835 (primorial base analog).

Sequence in context: A086434 A086433 A102568 * A338835 A210536 A102767

Adjacent sequences: A338831 A338832 A338833 * A338835 A338836 A338837

Keyword

nonn,base

Author

Rémy Sigrist, Nov 11 2020

Status

approved