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A127873 Numbers of the form (x^3)/2+(3x^2)/2+3x+3. +0
11
8, 19, 39, 71, 118, 183, 269, 379, 516, 683, 883, 1119, 1394, 1711, 2073, 2483, 2944, 3459, 4031, 4663, 5358, 6119, 6949, 7851, 8828, 9883, 11019, 12239, 13546, 14943, 16433, 18019, 19704, 21491, 23383, 25383, 27494, 29719, 32061, 34523, 37108 (list; graph; listen)
OFFSET

1,1

COMMENT

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).

MAPLE

Table[3 + 3 x + (3 x^2)/2 + x^3/2, {x, 1, 100}]

CROSSREFS

Cf. A127874.

Sequence in context: A158916 A045557 A089111 this_sequence A156198 A153026 A057452

Adjacent sequences: A127870 A127871 A127872 this_sequence A127874 A127875 A127876

KEYWORD

nonn

AUTHOR

Artur Jasinski (grafix(AT)csl.pl), Feb 04 2007

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Last modified December 6 19:58 EST 2009. Contains 170429 sequences.


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