A327796 Values of x in the n solutions corresponding to the least number A300419(n) expressible in exactly n ways as x^2 + x*y + y^2 with x >= y >= 1, with x written as triangle T(n,k), k <= n. y is given in A327797.

1, 6, 9, 17, 21, 23, 25, 32, 37, 40, 91, 107, 118, 143, 154, 66, 77, 89, 94, 98, 109, 392, 455, 507, 513, 552, 560, 595, 145, 163, 173, 177, 197, 207, 218, 230, 233, 255, 273, 310, 325, 335, 357, 378, 390, 462, 498, 539, 561, 623, 658, 686, 711, 717, 763

Offset

1,2

Comments

A combined table for the solutions corresponding to A300419(n) was provided by Robert G. Wilson v as a text file, see link.

Links

Hugo Pfoertner, Table of n, a(n) for n = 1..171, rows 1..18 of triangle, flattened

Robert G. Wilson v, Solutions of a(n) for n <= 16

Example

The triangle begins
    1,
    6,   9,
   17,  21,  23,
   25,  32,  37,  40,
   91, 107, 118, 143, 154,
   66,  77,  89,  94,  98, 109,
  392, 455, 507, 513, 552, 560, 595,
  145, 163, 173, 177, 197, 207, 218, 230
.
T(3,1)=17, T(3,2)=21, T(3,3)=23 because
A300419(3) = 637 corresponds to the 3 solutions
637 = 17^2 + 17*12 + 12^2 = 21^2 + 21*7 + 7^2 = 23^2 + 23*4 + 4^2, using the y-values 12, 7, 4 from A327797.

Crossrefs

Cf. A300419, A327797.

Sequence in context: A129317 A316067 A316068 * A229354 A316069 A351851

Adjacent sequences: A327793 A327794 A327795 * A327797 A327798 A327799

Keyword

nonn,tabl

Author

Hugo Pfoertner, Sep 25 2019

Status

approved