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Search: id:A060241
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| A060241 |
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Triangle T(n,k) in which n-th row gives degrees of irreducible representations of alternating group A_n. |
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6
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| 1, 1, 1, 1, 1, 1, 3, 1, 3, 3, 4, 5, 1, 5, 5, 8, 8, 9, 10, 1, 6, 10, 10, 14, 14, 15, 21, 35, 1, 7, 14, 20, 21, 21, 21, 28, 35, 45, 45, 56, 64, 70, 1, 8, 21, 21, 27, 28, 35, 35, 42, 48, 56, 84, 105, 120, 162, 168, 189, 216, 1, 9, 35, 36, 42, 75, 84, 90, 126, 160, 210, 224, 224, 225, 252, 288, 300, 315, 350, 384, 384, 450, 525, 567, 1, 10, 44, 45, 110, 120, 126, 126, 132, 165, 210, 231, 330, 385, 462, 550, 594, 594, 594, 660, 693, 825, 924, 990, 990, 1100, 1155, 1232, 1320, 1540, 2310
(list; graph; listen)
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OFFSET
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3,7
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REFERENCES
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J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups, Oxford Univ. Press, 1985.
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EXAMPLE
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1,1,1; 1,1,1,3; 1,3,3,4,5; 1,5,5,8,8,9,10; ...
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PROGRAM
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(MAGMA) CharacterTable(AlternatingGroup(6)); (say)
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CROSSREFS
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Rows give A003862, A003683, etc. Cf. A060240.
Sequence in context: A049996 A117572 A029153 this_sequence A085723 A078555 A087891
Adjacent sequences: A060238 A060239 A060240 this_sequence A060242 A060243 A060244
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KEYWORD
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nonn,tabf,nice,easy
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AUTHOR
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njas, Mar 21 2001
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EXTENSIONS
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Characters for A_8 to A_11 from the online MAGMA calculator. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 04 2006
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