A337215 - OEIS

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

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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