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Search: id:A092976
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| A092976 |
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Consider all partitions of n into parts all of which are divisors of n; a(n) = number of distinct values taken by the product of the parts. |
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| 1, 2, 2, 3, 2, 7, 2, 5, 4, 10, 2, 19, 2, 13, 13, 9, 2, 37, 2, 29, 17, 19, 2, 61, 6, 22, 10, 39, 2, 247, 2, 17, 25, 28, 25, 127, 2, 31, 29, 97, 2, 450, 2, 59, 82, 37, 2, 217, 8, 146
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OFFSET
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1,2
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COMMENT
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a(n) > tau(n)+ A(n) + R(n), where tau(n) = number of divisors of n, A(n)= product of powers of nontrivial divisors whose sum with multiplicity is < n and R(n) = numbers of the form r^(k)> n where r is a divisor of n and k <= n/r.
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EXAMPLE
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a(10) = 10, the numbers arising are 1,2,4,5,8,10,16,20,25 and 32; e.g. 25 = 5*5, 8 = 2*2*2*1*1*1*1, 32 = 2*2*2*2*2, etc.
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CROSSREFS
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Cf. A092975.
Sequence in context: A094438 A156098 A015996 this_sequence A084705 A141652 A117754
Adjacent sequences: A092973 A092974 A092975 this_sequence A092977 A092978 A092979
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KEYWORD
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more,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 27 2004
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 06 2005
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