A186082 Numbers n such that log(A156668(n)*(1 + n mod 2))/n^2 is smaller than for any prior n.

1, 2, 3, 5, 10, 13, 18, 31, 49, 98, 116, 232, 281, 397, 678, 1075, 2150, 3225, 4300, 5375, 5772, 6847, 7922, 8997, 17994, 19069

Offset

1,2

Links

David Broadhurst, Table of n for n = 1..1000

Kevin Acres and David Broadhurst, Rational points on y^2 = x^3 + 10*x^2 + 5*x

Example

[1,  0.6931471805599453094172321215]
[2,  0.5994738181995926360154858945]
[3,  0.5898075219334671955890478209]
[5,  0.5866039232314788114510488867]
[10, 0.5865963134453746145925657102]
[13, 0.5864356249925781873672553233]
[18, 0.5864232678262123920533476064]

Prog

(PARI)
T(k)={
    local(P=ellpow(ellinit([0, 10, 0, 5, 0]), [-1, 2], k), s, t);
    s=P[1]^2;
    t=abs(numerator(P[2]^4/s-80*s));
    while(t%2==0, t=t/2; );
    t;
}
M(k)=1+k%2;
V(k)=log(M(k)*T(k))/k^2;
{
    lowest=1;
    for(i=1, 20000,
        l=V(i);
        if(l<lowest,
            lowest=l;
            print([i, l]);
        );
    );
}

Crossrefs

Cf. A156668.

Sequence in context: A005677 A162404 A084760 * A103746 A071848 A268176

Adjacent sequences: A186079 A186080 A186081 * A186083 A186084 A186085

Keyword

nonn

Author

Kevin T. Acres, Feb 12 2011

Status

approved