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A024408 Perimeters of more than one primitive Pythagorean triangle. 4
1716, 2652, 3876, 3960, 4290, 5244, 5700, 5720, 6900, 6930, 8004, 8700, 9300, 9690, 10010, 10788, 11088, 12180, 12876, 12920, 13020, 13764, 14280, 15252, 15470, 15540, 15960, 16380, 17220, 17480, 18018, 18060, 18088, 18204, 19092, 19320, 20592, 20868 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(23) = 14280 is the first perimeter of 3 primitive Pythagorean triangles: {119, 7080, 7081}, {168, 7055, 7057} and {3255, 5032, 5993}. - Jean-Fran├žois Alcover, Mar 14 2012

LINKS

David A. Corneth, Table of n, a(n) for n = 1..10000

Leon Bernstein, Primitive Pythagorean Triples, The Fibonacci Quarterly 20.3 (1982) 227-241.

Ron Knott, Pythagorean Triples and Online Calculators

Lindsay Witcosky, Perimeters of primitive Pythagorean triangles

EXAMPLE

a(1) = 1716 with precisely two primitive Pythagorean triangles (with increasing entries): {195, 748, 773} and {364, 627, 725}. From Ron Knott's link. This is the first example of the family of perimeters 12*b(k)*(b(k) + 2) with b(k) = A007528(k), for k >= 2. See the Bernstein link, p. 234, Theorem 5. a). - Wolfdieter Lang, Sep 24 2019

CROSSREFS

Cf. A007528, A024364, A103606.

Sequence in context: A297560 A157247 A267201 * A267741 A185795 A260474

Adjacent sequences:  A024405 A024406 A024407 * A024409 A024410 A024411

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified February 24 13:13 EST 2021. Contains 341569 sequences. (Running on oeis4.)