A383027 a(n) is the number whose reversed n-digit square is the largest among all reversals of n-digit squares.

3, 7, 17, 83, 167, 583, 1833, 8167, 10583, 41833, 191833, 489417, 1989417, 9958167, 25041833, 74958167, 125041833, 831989417, 1625041833, 9874958167, 15831989417, 65831989417, 309874958167, 834168010583, 1809874958167, 6809874958167, 29165831989417, 51809874958167, 179165831989417

Offset: 1

Author

Zhining Yang, Apr 13 2025

Keywords

• nonn
• base
• easy

Examples

			a(3)=17 because 982 (reverse of 17^2=289) is the largest reverse of all 3-digit squares.
		

Crossrefs

Cf. A002942.

Programs

Mathematica

a[n_]:=Module[{s=Ceiling[Sqrt[10^(n-1)]]},max=IntegerReverse[s^2];
For[k=s,k<=Floor[Sqrt[(10^n-1)]],k++,t=IntegerReverse[k^2];
If[t>max,max=t;s=k]];s];Table[a[n],{n,10}]