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Search: id:A060437
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| A060437 |
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a(n) is the number of different degrees in the sequence of the degrees of the irreducible representations of the symmetric group S_n, i.e. count each degree only once. |
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4
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| 1, 1, 2, 3, 4, 5, 7, 12, 15, 22, 28, 38, 45, 52, 81, 107, 130, 179, 194, 280, 348
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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The total number of irreducible representations of S_n is the partition function p(n) (sequence A000041) - this is the total number of the degrees counting multiplicities.
Also a(n) = number of distinct values of A153452(m) when A056239(m) is equal to n. - Naohiro Nomoto, Dec 31 2008
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EXAMPLE
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a(6) = 5 because the degrees for S_6 are 1,1,5,5,5,5,9,9,10,10,16 and counting each degree only once only 5 numbers remain: 1,5,9,10,16.
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CROSSREFS
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Cf. A000041, A060240.
Sequence in context: A018134 A143284 A015856 this_sequence A133428 A090703 A137357
Adjacent sequences: A060434 A060435 A060436 this_sequence A060438 A060439 A060440
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KEYWORD
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nonn
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AUTHOR
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Avi Peretz (njk(AT)netvision.net.il), Apr 07 2001
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), May 20 2003
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