Search: id:A097442
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%I A097442
%S A097442 2,7,16,36,64,102,144,198,306,397,520,676,774,898,1116,1396,1575,1819,
%T A097442 2097,2264,2557,2883,3267,3835,4296,4533,4830,5080,5394,6426,7275,7881,
%U A097442 8285,9159,9784,10392,11213,11879,12651,13555,14080,15221,16016,16573
%N A097442 Integer part of the area of consecutive prime sided isosceles triangles.
%C A097442 The real part of these numbers is always irrational.
%F A097442 Consider prime isosceles triangles of sides (2, 3, 3), (3, 5, 5), ..., 
               (x, y, y) where x is prime and y is the next prime after x. Then 
               area = 1/2*x*sqrt(y^2-(x/2)^2). Output floor(area)
%o A097442 (PARI) f(n) = forprime(x=2,n,y=nextprime(x+1);a=1/2*x*sqrt(y^2-(x/2)^2);
               print1(floor (a)","))
%Y A097442 Sequence in context: A130869 A023612 A132738 this_sequence A131405 A042243 
               A041887
%Y A097442 Adjacent sequences: A097439 A097440 A097441 this_sequence A097443 A097444 
               A097445
%K A097442 nonn
%O A097442 2,1
%A A097442 Cino Hilliard (hillcino368(AT)gmail.com), Aug 22 2004

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