Given: The sum of the squares of a and its reverse b (i.e. the number read from right to left) is a perfect square.

Find the sides a,b,c of this peculiar right-angled triangle.

Source: This property was discovered by Victor Thébault in 1959.

(In reply to re: computer solution.....GO OEIS ! by Ady TZIDON)

It turns out, that if you include values for 'a' which end in zero, such that the reverse of 'a' now has a leading zero (which you ignore), then this has already been in OEIS for a while:  A068536

a      b=reverse(a)  c=sqrt(a^2+b^2)
88209    90288    126225
90288    88209    126225
125928    829521    839025
196020    20691    197109
368280    82863    377487
829521    125928    839025
1978020    208791    1989009
2328480    848232    2478168
5513508    8053155    9759717
8053155    5513508    9759717
19798020    2089791    19908009
86531940    4913568    86671332

Posted by Larry on 2022-06-30 06:35:25