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A307547 a(n) is the smallest divisor of the partition number P(n) = A000041(n) not already in the sequence. 1
1, 2, 3, 5, 7, 11, 15, 22, 6, 14, 4, 77, 101, 9, 8, 21, 27, 35, 10, 19, 12, 167, 251, 25, 89, 28, 43, 13, 55, 467, 311, 23, 49, 1231, 33, 17977, 281, 121, 45, 42, 193, 2417, 71, 31, 41, 73, 38, 7013, 275, 9283, 363, 53, 63, 17, 142, 47, 102359, 20, 44, 139 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Provided A046641(m) is defined for any number m > 0, this sequence is a permutation of the natural numbers.
LINKS
FORMULA
a(A049575(k)) = A049575(k).
EXAMPLE
The first terms, alongside the divisors of P(n), are:
n a(n) div(P(n))
-- ---- --------------------
1 1 (1)
2 2 (1, 2)
3 3 (1, 3)
4 5 (1, 5)
5 7 (1, 7)
6 11 (1, 11)
7 15 (1, 3, 5, 15)
8 22 (1, 2, 11, 22)
9 6 (1, 2, 3, 5, 6, 10, 15, 30)
10 14 (1, 2, 3, 6, 7, 14, 21, 42)
PROG
(PARI) See Links section.
CROSSREFS
Sequence in context: A027342 A363231 A184643 * A182804 A242695 A319473
KEYWORD
nonn
AUTHOR
Rémy Sigrist, Jul 27 2019
STATUS
approved

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Last modified July 20 09:46 EDT 2024. Contains 374445 sequences. (Running on oeis4.)