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%I #6 Nov 01 2023 03:18:01
%S 3,6,9,12,7,18,21,24,27,14,33,36,16,42,21,48,13,54,57,28,63,66,69,72,
%T 35,32,81,84,17,42,93,96,99,26,49,108,57,114,48,56,45,126,129,132,63,
%U 138,141,144,147,70,39,64,23,162,77,168,171,34,177,84,55,186,189,192
%N Shortest leg of a Pythagorean triangle with a hypotenuse of length 5n.
%C a(n) has values in the range from sqrt(10n-1) to 3n (or, slightly weaker but prettier, in the range from 3*sqrt(n) to 3n).
%e a(1)=3 because 3^2+4^2=(5*1)^2; a(2)=6 because 6^2+8^2=(5+2)^2; a(5)=7 since 7^2+24^2=(5*5)^2.
%Y Cf. A036842, A055527.
%K nonn
%O 1,1
%A _Henry Bottomley_, Jan 14 2002
%E Offset corrected by _Sean A. Irvine_, Nov 01 2023