A342549 Factors k > 0 such that the polynomial 2*k*x^3 + 1 produces a record of its Hardy-Littlewood constant.

1, 5, 12, 57, 75, 135, 195, 210, 660

Offset

1,2

Comments

a(10) > 10000.

For more information and references see A331950.

Links

Table of n, a(n) for n=1..9.

Example

   n  a(n)   Hardy-Littlewood
             constant (rounded)
   1     1   2.5970791151
   2     5   3.3401203819
   3    12   4.1716318164
   4    57   4.5504531392
   5    75   4.7090460169
   6   135   5.0101805728
   7   195   5.3408627801
   8   210   6.0848257259
   9   660   6.5566372288

Crossrefs

Cf. A331945 (records for k*x^2+1), A331950, A342547, A342548, A342566.

Sequence in context: A066961 A179994 A131549 * A346746 A111904 A015784

Adjacent sequences: A342546 A342547 A342548 * A342550 A342551 A342552

Keyword

nonn,hard,more

Author

Hugo Pfoertner, May 01 2021

Status

approved