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Squares which can be split into two nonzero squares (perhaps with leading zeros) in exactly two different ways.
1

%I #8 Feb 20 2022 21:45:02

%S 64009,1600225,4950625,6400900,40005625,160022500,324900625,360050625,

%T 495062500,624100324,640090000,1000140625,4000562500,9001265625,

%U 16002250000,25003515625,32490062500,36005062500,49006890625,49506250000,62410032400,64009000000

%N Squares which can be split into two nonzero squares (perhaps with leading zeros) in exactly two different ways.

%F a(n) = A054737(n)^2. - _Sean A. Irvine_, Feb 20 2022

%e 4950625=2225^2 can be split into 49=7^2 and 50625=225^2 or into 4=2^2 and 950625=975^2; 6400900=2530^2 can be split into 6400=80^2 and 900=30^2 or into 64=8^2 and 00900=30^2

%Y Cf. A039686.

%K base,nonn

%O 0,1

%A _Henry Bottomley_, Apr 26 2000

%E More terms from _Sean A. Irvine_, Feb 20 2022