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A085887
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Let r and s be such that r + s = n; a(n) = minimum value of tau(r) + tau(s).
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0
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2, 3, 3, 4, 3, 4, 3, 4, 4, 5, 3, 4, 3, 4, 4, 5, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 6, 3, 4, 3, 4, 4, 5, 4, 6, 3, 4, 4, 5, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 6, 3, 4, 4, 5, 4, 5, 3, 4, 3, 4, 4, 5, 4, 6, 3, 4, 4, 5, 3, 4, 3, 4, 4, 5, 4, 6, 3, 4, 4, 5, 3, 4, 4, 5, 4, 6, 3, 4, 4, 5, 4, 5, 4, 6, 3, 4, 4, 5, 3, 4, 3, 4, 4
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,1
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COMMENTS
| a(p+1) = 3 if p is a prime. a(n) = 4 if n is the sum of two primes. For all even numbers > 4, a(n) = 4 by Goldbakh's conjecture.
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EXAMPLE
| a(8) = 3, the partitions are ( 1,7),(2,6),(3,5),(4,4) which give 3,6,4 and 6 as the sum of divisors of both the parts.
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CROSSREFS
| Cf. A085883.
Sequence in context: A077567 A096344 A030349 * A049108 A179846 A086925
Adjacent sequences: A085884 A085885 A085886 * A085888 A085889 A085890
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 08 2003
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EXTENSIONS
| More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Feb 10 2005
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