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A265847
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Number of different quasi-orders with n labeled elements, modulo n.
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1
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0, 0, 2, 3, 2, 1, 2, 2, 0, 3, 2, 1, 2, 6, 1, 15, 2, 1, 2
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OFFSET
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1,3
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COMMENTS
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Remainder when number of different quasi-orders with n labeled elements is divided by n.
If n is an odd prime, a(n) = 2 because of the fact that A000798(p^k) == k + 1 mod p for all primes p. For k = 1, A000798(p) == 2 mod p for all primes p.
Currently, A000798 has values for n <= 18. However, thanks to A000798(p) == 2 mod p, we know that a(19) = 2.
How is the distribution of other terms such as 1 and 3 in this sequence?
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LINKS
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FORMULA
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EXAMPLE
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a(4) = A000798(4) mod 4 = 355 mod 4 = 3.
a(5) = A000798(5) mod 5 = 6942 mod 5 = 2.
a(6) = A000798(6) mod 6 = 209527 mod 6 = 1.
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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