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Search: id:A082550
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| A082550 |
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Number of sets of distinct positive integers whose arithmetic mean is an integer, the largest integer of the set being n. |
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+0
3
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| 1, 1, 3, 3, 7, 11, 19, 31, 59, 103, 187, 343, 631, 1171, 2191, 4095, 7711, 14571, 27595, 52431, 99879
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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a(n) = A051293(n+1) - A051293(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Feb 19 2006
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EXAMPLE
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a(5) = 7: the seven sets are (1+2+3+4+5)/5 = 3, 5/1 = 5, (1+5)/2 = 3, (1+3+5)/3 = 3, (3+5)/2 = 4, (3+4+5)/3 = 4, (1+2+4+5)/4 = 3.
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CROSSREFS
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Equals A063776(n) - 1.
Sequence in context: A136445 A052989 A022403 this_sequence A036056 A006661 A068626
Adjacent sequences: A082547 A082548 A082549 this_sequence A082551 A082552 A082553
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KEYWORD
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easy,nonn
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AUTHOR
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Naohiro Nomoto (n_nomoto(AT)yabumi.com), May 03 2003
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