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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.
4
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.
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
KEYWORD
nonn,base
AUTHOR
Rémy Sigrist, Nov 11 2020
STATUS
approved