|
| |
|
|
A127878
|
|
Numbers of the form x^4+4x^3+12x^2+24x+24.
|
|
6
| |
|
|
24, 65, 168, 393, 824, 1569, 2760, 4553, 7128, 10689, 15464, 21705, 29688, 39713, 52104, 67209, 85400, 107073, 132648, 162569, 197304, 237345, 283208, 335433, 394584, 461249, 536040, 619593, 712568, 815649, 929544, 1054985, 1192728
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| Generating polynomial is Schur's polynomial of 4-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).
|
|
|
FORMULA
| Integral representation in terms of incomplete Gamma function : a(n)= Exp[n]Gamma[5,n], where Gamma[5,n]= Integrate[x^4 Exp[ -x],{x,n,+infinity}]. - Nour-Eddine Fahssi (fahssin(AT)yahoo.fr), Jan 25 2008
|
|
|
MATHEMATICA
| Table[24 + 24 x + 12 x^2 + 4 x^3 + x^4, {x, 0, 50}]
|
|
|
CROSSREFS
| Cf. A127873, A127874, A127875, A127876, A127877, A127879, A127880, A127881, A127882, A127883, A127884.
Sequence in context: A022761 A090386 A118609 * A205823 A175153 A043154
Adjacent sequences: A127875 A127876 A127877 * A127879 A127880 A127881
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Feb 04 2007
|
| |
|
|
