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A186082 Numbers n such that log(A156668(n)*(1 + n mod 2))/n^2 is smaller than for any prior n. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 19 01:29 EDT 2019. Contains 322237 sequences. (Running on oeis4.)