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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.
3
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.
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
KEYWORD
nonn,base
AUTHOR
Rémy Sigrist, Nov 11 2020
STATUS
approved