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.

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).

Links

Table of n, a(n) for n=1..22.

Crossrefs

Cf. A336888, A336889, A337216.

Sequence in context: A371656 A323215 A334818 * A314571 A191977 A349887

Adjacent sequences: A337212 A337213 A337214 * A337216 A337217 A337218

Keyword

nonn,more

Author

Wolfdieter Lang, Aug 19 2020

Status

approved