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Smallest square s such that A024352(n) + s is square.
1

%I #3 Sep 24 2018 16:53:14

%S 1,4,9,1,16,25,4,36,1,9,64,81,16,4,121,1,144,9,36,196,225,4,16,1,64,

%T 324,25,9,400,441,100,4,529,1,576,49,144,676,9,25,64,841,4,900,1,36,

%U 16,1089,256,100,1225,49,1296,25,324,4,1521,81,144,1681,16,36,169,81,1936,9,484

%N Smallest square s such that A024352(n) + s is square.

%F y(y+e) = A024352(n), where e is the smallest even number that satisfies this equation, A(n) = (e/2)^2.

%e 5(5+6) = 55, smallest square = (6/2)^2 = 9

%e 4(4+10) = 56, smallest square = (10/2)^2 = 25

%e 3(3+16) = 57, smallest square = (16/2)^2 = 64

%e 1(1+58) = 59, smallest square = (58/2)^2 = 841

%e 6(6+4) = 60, smallest square = (4/2)^2 = 4

%e 1(1+60) = 61, smallest square = (60/2)^2 = 900

%e 7(7+2) = 63, smallest square = (2/2)^2 = 1

%e etc.

%Y Cf. A024352.

%K nonn

%O 1,2

%A _Andrew S. Plewe_, May 23 2007