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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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6
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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
| Table[1/2 (120+x (120+x (60+x (20+x (5+x))))), {x, 40}] (* From Harvey P. Dale, Mar 12 2011 *)
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CROSSREFS
| Cf. A127873, A127874, A127875, A127876, A127877, A127878, A127879, A127880, A127881, A127882, A127884.
Sequence in context: A142237 A142283 A038552 * A054466 A002149 A167627
Adjacent sequences: A127880 A127881 A127882 * A127884 A127885 A127886
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KEYWORD
| nonn
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AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Feb 04 2007
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EXTENSIONS
| Corrected Mathematica program [Harvey P. Dale, Mar 12 2011]
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