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A354852
a(n) is the number of distinct ways to represent n using any mixed radix numeral system.
1
1, 2, 3, 5, 6, 8, 9, 13, 15, 18, 19, 20, 21, 27, 30, 35, 36, 40, 41, 47, 50, 58, 59, 51, 54, 69, 77, 84, 85, 79, 80, 94, 102, 116, 118, 101, 102, 122, 132, 129, 130, 135, 136, 161, 165, 182, 183, 140, 144, 169, 186, 219, 220, 210, 213, 230, 240, 269, 270, 198, 199, 248, 262, 265, 276, 282, 283
OFFSET
1,2
LINKS
Joerg Arndt, Matters Computational (The Fxtbook), chapter 9, "Mixed radix numbers", p. 217.
FORMULA
Conjecture: a(p) = a(p-1)+1 whenever p is a prime number.
EXAMPLE
For n=5, the a(5) = 6 different digit strings which can give 5 are
digits mixed radix
101 2,2,2
10 2,5
11 2,4
12 2,3
21 3,2
5 6
CROSSREFS
Sequence in context: A058588 A357742 A035399 * A153775 A173666 A063756
KEYWORD
nonn,base
AUTHOR
Max J. Folkers, Jun 08 2022
STATUS
approved