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Search: id:A127876
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| A127876 |
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Integers of the form (x^3)/6+(x^2)/2+x+1. |
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+0
9
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| 13, 61, 172, 373, 691, 1153, 1786, 2617, 3673, 4981, 6568, 8461, 10687, 13273, 16246, 19633, 23461, 27757, 32548, 37861, 43723, 50161, 57202, 64873, 73201, 82213, 91936, 102397, 113623, 125641, 138478, 152161, 166717, 182173, 198556, 215893
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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 degree 3. 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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a = {}; Do[If[IntegerQ[1 +x + x^2/2 + x^3/6], AppendTo[a, 1 + x + x^2/2 + x^3/6]], {x, 1, 300}]; a
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CROSSREFS
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Cf. A127873, A127874, A127875.
Adjacent sequences: A127873 A127874 A127875 this_sequence A127877 A127878 A127879
Sequence in context: A119151 A081589 A139880 this_sequence A047673 A141725 A147185
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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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