A245474a(n) = smallest positive integer s such that s*n - floor(sqrt(s*n))^2 is a square.

1, 1, 1, 3, 1, 1, 6, 7, 1, 1, 1, 11, 3, 1, 14, 3, …

The first 9 terms appear at position 53,099.

…545214591281831798216044111311671406914827170981015457781…
position 53,099
termsstringfirst positionoccurrences
11199,997,334
211949,997,964
31111531,000,046
411133,50399,690
51113153,0999,911
611131153,0991,000
7111311653,099112
81113116753,09912
911131167153,0993
101113116711not within 1,000,000,0000
1111131167111not within 1,000,000,0000

Searched the first 1,000,000,000 digits. Strings longer than 12 digits are not indexed.