A068965 Sides of integer Heronian triangles [prime(A068964(n)), prime(A068964(n)+1), a(n)] with area A068966(n).

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

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: A032333 A357666 A366639 * 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