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A337215
a(n) gives the square of the base the nonrectangular triangle with positive sides (sqrt(x(n)_j), sqrt(y(n)_j), sqrt(a(n))), 1 <= x(n)_j <= y(n)_j <= a(n), with positive integers x(n)_j, y(n)_j and areas A(n)_j, for j = 1, 2, ..., A336889(n), such that the quartets (x(n)_j, y(n)_j, a(n), A(n)_j) are primitive.
3
5, 8, 9, 10, 13, 16, 17, 18, 20, 25, 26, 29, 32, 34, 36, 37, 40, 41, 45, 48, 49, 50
OFFSET
1,1
COMMENTS
For the positive integer leg pairs (x(n)_j, y(n)_j) see row n of A336888, for n >= 1: x(n)_j = A336888(n, 2*j-1) and y(n)_j = A336888(n, 2*j), for j = 1, 2, ..., A336889(n).
The areas A(n_j) are given by A337216(n, j).
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Wolfdieter Lang, Aug 19 2020
STATUS
approved