A282639 Greater value of a coprime pair (x,y) satisfying x^3+y^3=z^2.

2, 37, 65, 112, 312, 433, 877, 1064, 1177, 1201, 1617, 1969, 2345, 2480, 2543, 3081, 3482, 4019, 4440, 5160, 5985, 6337, 6489, 7729, 8663, 8848, 9265, 10274, 10753, 11821, 12071, 12688, 13937, 14345, 15520, 15962, 16296, 16352, 17761, 21923, 22753, 26208

Offset

1,1

Comments

A permutation of A099533 sorted by increasing y. 1<=x<=y, GCD(x,y)=1.

Links

R. J. Mathar, Table of n, a(n) for n = 1..325

Example

(x,y,z) = (11,37,228), (56,65,671), (57,112,1261), (217,312,6371), (242,433,9765), (851,877,35928), (305,1064,35113), (23,1177,40380), (122,1201,41643), (592,1617,66599), (1706,1969,112245), (1376,2345,124501), (1001,2480,127499), (2257,2543,167160), (1960,3081,191771)... - R. J. Mathar, Jan 22 2025

Maple

A282639 := proc(n)
    option remember ;
    local x, y ;
    if n =1 then
        2
    else
        for y from procname(n-1)+1 do
            for x from 1 to y do
                if igcd(x, y) = 1 then
                    if issqr(x^3+y^3) then
                        return y;
                    end if;
                end if;
            end do:
        end do:
    end if;
end proc:
seq(A282639(n), n=1..17) ; # R. J. Mathar, Jan 22 2025

Crossrefs

Cf. A099533, A106322, A099426 (values of z). Subsequence of A320662.

Sequence in context: A084548 A063999 A062606 * A099533 A107752 A055031

Adjacent sequences: A282636 A282637 A282638 * A282640 A282641 A282642

Keyword

nonn,changed

Author

R. J. Mathar, Feb 20 2017

Status

approved