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A134547 a(n)=5n^2+20n+4. 1
29, 64, 109, 164, 229, 304, 389, 484, 589, 704, 829, 964, 1109, 1264, 1429, 1604, 1789, 1984, 2189, 2404, 2629, 2864, 3109, 3364, 3629, 3904, 4189, 4484, 4789, 5104 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Most quintic polynomials x^5 + 5x(5*n^2+20n+4) + 8(5*n^2+20n+4) (with the exception of n=0 or 4 when the polynomial is solvable, or n=-2 when it is reducible) have nonsolvable alternating Galois group A_5 (of order 60) over rational numbers.
LINKS
FORMULA
G.f.: -x*(29-23*x+4*x^2)/(-1+x)^3. - R. J. Mathar, Nov 14 2007
MATHEMATICA
Table[5n^2 + 20n + 4, {n, 1, 30}]
PROG
(PARI) a(n)=5*n^2+20*n+4 \\ Charles R Greathouse IV, Jun 17 2017
CROSSREFS
Cf. A134538.
Sequence in context: A092222 A338529 A039516 * A259636 A240169 A044131
KEYWORD
nonn,easy
AUTHOR
Artur Jasinski, Oct 31 2007, Nov 21 2007
STATUS
approved

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Last modified February 24 02:20 EST 2024. Contains 370288 sequences. (Running on oeis4.)