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Search: id:A068966
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A068966 Areas of integer Heronian triangles [prime(A068964(n)), prime(A068964(n)+1), A068965(n)]. +0
4
6, 66, 3204, 6810, 37716, 72006, 182430, 532236, 370614, 2155134, 3203694, 6353634 (list; graph; listen)
OFFSET

1,1

LINKS

Eric Weisstein's World of Mathematics, Heronian Triangle.

Eric Weisstein's World of Mathematics, Heron's Formula.

EXAMPLE

A068964(3) = 24: [prime(24), prime(25), A068965(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 a(3) = 3204.

CROSSREFS

Cf. A046131, A055595, A068969.

Sequence in context: A122020 A126459 A054969 this_sequence A063039 A082781 A099147

Adjacent sequences: A068963 A068964 A068965 this_sequence A068967 A068968 A068969

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Mar 30 2002

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Last modified July 6 17:22 EDT 2008. Contains 140988 sequences.


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