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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.
3
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
Sequence in context: A129317 A316067 A316068 * A229354 A316069 A351851
KEYWORD
nonn,tabl
AUTHOR
Hugo Pfoertner, Sep 25 2019
STATUS
approved