A003421 - OEIS

A003421

Nonsquare values of m in the discriminant D = 4*m leading to a new maximum of the L-function of the Dirichlet series L(1) = Sum_{k>0} Kronecker(D,k)/k.
(Formerly M0750)

2, 3, 6, 7, 10, 19, 31, 34, 46, 79, 106, 151, 211, 214, 274, 331, 394, 631, 751, 919, 991, 1054, 1486, 1654, 2146, 2479, 2599, 3826, 5014, 5251, 7459, 8551, 9454, 10651, 13666, 18379, 22234, 32971, 39274, 45046, 48799, 61051, 62386, 74299, 78439, 84319, 111094

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OFFSET

1,1

COMMENTS

The terms a(1)-a(24) are given in Shanks's Table 6 "Hichamps, 4M = Discriminant". After the term 1654, this table is incomplete and only gives selected values. - Hugo Pfoertner, Feb 07 2020

REFERENCES

D. Shanks, Systematic examination of Littlewood's bounds on L(1,chi), pp. 267-283 of Analytic Number Theory, ed. H. G. Diamond, Proc. Sympos. Pure Math., 24 (1973). Amer. Math. Soc.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=1..47.

D. Shanks, Systematic examination of Littlewood's bounds on L(1,chi), Proc. Sympos. Pure Math., 24 (1973). Amer. Math. Soc. (Annotated scanned copy)

CROSSREFS

Cf. A003419, A003420, A003521.

Sequence in context: A107852 A362286 A050031 * A375738 A253239 A226384

Adjacent sequences: A003418 A003419 A003420 * A003422 A003423 A003424

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

New title, a(25)-a(47) from Hugo Pfoertner, Feb 07 2020

STATUS

approved