|
Search: id:A127876
|
|
|
| A127876 |
|
Integers of the form (x^3)/6+(x^2)/2+x+1. |
|
+0
9
|
|
| 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
(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).
|
|
MATHEMATICA
|
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
|
|
CROSSREFS
|
Cf. A127873, A127874, A127875.
Sequence in context: A119151 A081589 A139880 this_sequence A047673 A141725 A147185
Adjacent sequences: A127873 A127874 A127875 this_sequence A127877 A127878 A127879
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Artur Jasinski (grafix(AT)csl.pl), Feb 04 2007
|
|
|
Search completed in 0.002 seconds
|
