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A068965 Sides of integer Heronian triangles [prime(A068964(n)), prime(A068964(n)+1), a(n)] with area A068966(n). 3
4, 20, 170, 452, 890, 2180, 4052, 5210, 6500, 10100, 27380, 43220, 84068, 95930, 118100, 130052, 183620, 198458, 246410, 281252, 357860, 399620, 410420, 455060, 581060, 656660, 900500, 1022468, 1134020, 1188890, 1232468, 1401140, 1462058, 1545290, 1609220, 1630820 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Giovanni Resta, Table of n, a(n) for n = 1..385

Eric Weisstein's World of Mathematics, Heronian Triangle.

EXAMPLE

A068964(3) = 24: [A000040(24), A000040(25), a(3)] = [89,97,170], with s = (89+97+170)/2 = 178: Area^2 = s*(s-89)*(s-81)*(s-170) = 178*89*81*8 = 10265616 = 3204*3204, therefore A068966(3) = 3204.

CROSSREFS

Sequence in context: A065526 A032333 A357666 * A185672 A210438 A054474

Adjacent sequences: A068962 A068963 A068964 * A068966 A068967 A068968

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Mar 30 2002

EXTENSIONS

Terms a(13) and beyond from Giovanni Resta, Apr 20 2020

STATUS

approved

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Last modified December 3 20:52 EST 2022. Contains 358543 sequences. (Running on oeis4.)