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Search: id:A127883
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| A127883 |
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Numbers of the form 60(x^5/120+x^4/24+x^3/6+x^2/2+x+1). |
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+0
7
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| 163, 436, 1104, 2572, 5485, 10788, 19786, 34204, 56247, 88660, 134788, 198636, 284929, 399172, 547710, 737788, 977611, 1276404, 1644472, 2093260, 2635413, 3284836, 4056754, 4967772, 6035935, 7280788, 8723436, 10386604, 12294697
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OFFSET
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1,1
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COMMENT
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Generating polynomial is Schur's polynomial of 5-degree. Schur's polynomials n degree are n-th first term of series expansion of e^x function. All polynomials are non-reducible and belonging to the An alternating Galois transitive group if n is divisible by 4 or to Sn symmetric Galois Group in other case (proof Schur, 1930).
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MATHEMATICA
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Teble[60 + 60 x + 30 x^2 + 10 x^3 + (5 x^4)\/2 + x^5/2, {x, 1, 50}]
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CROSSREFS
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Cf. A127873, A127874, A127875, A127876, A127877, A127878, A127879, A127880, A127881, A127882, A127884.
Sequence in context: A142237 A142283 A038552 this_sequence A054466 A002149 A167627
Adjacent sequences: A127880 A127881 A127882 this_sequence A127884 A127885 A127886
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Feb 04 2007
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