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a(n) is the smallest number not already used such that Sum_{m = 0 .. n-1} a(m)*a(m+1) is a square.
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%I #1 May 16 2003 03:00:00

%S 1,4,3,11,16,19,33,21,31,96,13,65,63,55,145,336,40,240,53,429,272,376,

%T 130,380,108,78,1368,49,235,288,196,627,59,1360,52,738,192,312,75,157,

%U 2432,81,313,3040,209,603,1120,45,281,4448,2847,357,1265,784,1153,9495

%N a(n) is the smallest number not already used such that Sum_{m = 0 .. n-1} a(m)*a(m+1) is a square.

%e a(4) = 5 because a(0)*a(1)+a(1)*a(2)+a(2)*a(3)+a(3)*a(4) = 1*4+4*3+3*11+11*16 = 225

%Y A065336

%K nonn

%O 0,2

%A Jonathan Ayres (jonathan.ayres(AT)btinternet.com), Oct 29 2001