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A060247
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Triangle whose rows are the degrees of the irreducible representations of the groups PSL(2,q) as q runs through the primes and prime powers.
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4
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1, 1, 2, 1, 1, 1, 3, 1, 3, 3, 4, 5, 1, 3, 3, 4, 5, 1, 3, 3, 6, 7, 8, 1, 7, 7, 7, 7, 8, 9, 9, 9, 1, 5, 5, 8, 8, 9, 10, 1, 5, 5, 10, 10, 11, 12, 12, 1, 7, 7, 12, 12, 12, 13, 14, 14, 1, 15, 15, 15, 15, 15, 15, 15, 15, 16, 17, 17, 17, 17, 17, 17, 17, 1, 9, 9, 16, 16, 16, 16, 17, 18, 18, 18
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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REFERENCES
| 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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LINKS
| J. S. Kimberley, First 60 rows of A060247 triangle, flattened.
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EXAMPLE
| 1,1,2; 1,1,1,3; 1,3,3,4,5; 1,3,3,4,5; ... (for q = 2,3,4,5, ...).
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PROG
| (MAGMA) CharacterTable(PSL(2, 7)); (say)
(MAGMA) &cat[[Degree(irred): irred in CharacterTable(PSL(2, q))]: q in [2..17]| IsPrimePower(q)]; - from Jason Kimberley (Jason.Kimberley(AT)newcastle.edu.au), May 22 2010
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CROSSREFS
| q = A000961(n+1).
Row length sequence is A177744.
Consecutive row sequences from 3rd to 18th are: A003860, A003860, A003879, A003880, A003861, A003882, A003883, A003884, A003885, A003886, A003887, A003888, A003889, A003890, A003891, A003892.
Cf. A060246, A060240, A060241.
Sequence in context: A057043 A070091 A091981 * A060246 A161204 A123541
Adjacent sequences: A060244 A060245 A060246 * A060248 A060249 A060250
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KEYWORD
| tabf,nonn,nice,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Mar 22 2001
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EXTENSIONS
| Extended by Jason Kimberley (Jason.Kimberley(AT)newcastle.edu.au), May 22 2010
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