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A051749
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Number of character table entries of the symmetric group S_n which are > 0.
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4
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1, 3, 6, 14, 26, 58, 98, 194, 344, 652, 1165, 2020, 3552, 6077, 10362, 17080, 28570, 46836, 77045, 122013, 198461, 310602, 494008, 767237, 1205391, 1828252, 2846995, 4277605, 6520106, 9795470, 14738493, 21750402, 32582580, 47614253, 70213289
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OFFSET
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1,2
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LINKS
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FORMULA
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MATHEMATICA
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a[n_] := Count[FiniteGroupData[{"SymmetricGroup", n}, "CharacterTable"], _?Positive, 2]; Array[a, 10] (* Jean-François Alcover, Apr 03 2017 *)
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PROG
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(GAP) A051749 := n -> Sum(Irr(CharacterTable("Symmetric", n)), chi -> Number(chi, x->x>0)); # Eric M. Schmidt, Jul 14 2012
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CROSSREFS
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KEYWORD
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nonn,nice
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AUTHOR
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JOHN MCKAY (mckay(AT)cs.concordia.ca), Dec 08 1999
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EXTENSIONS
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STATUS
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approved
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