A045788 Squares with initial digit '5'.

529, 576, 5041, 5184, 5329, 5476, 5625, 5776, 5929, 50176, 50625, 51076, 51529, 51984, 52441, 52900, 53361, 53824, 54289, 54756, 55225, 55696, 56169, 56644, 57121, 57600, 58081, 58564, 59049, 59536, 501264, 502681, 504100, 505521

Offset: 1

Author

Jeff Burch

Keywords

• nonn
• base

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A045784, A045785, A045786, A045787, A045789, A045791, A045792, A045793.

Programs

Maple

seq(op(map(`^`, [seq(i,i=ceil(sqrt(5*10^d))..floor(sqrt(6*10^d-1)))],2)),d=1..5); # Robert Israel, Sep 30 2016

Mathematica

Flatten[Table[Range[Ceiling[Sqrt[5 10^n]],Floor[Sqrt[6 10^n]]]^2,{n,5}]]  (* Harvey P. Dale, Jun 15 2011 *)

Formula

a(n) = A045859(n)^2. - R. J. Mathar, Jul 23 2025

Extensions

Offset changed by Robert Israel, Sep 30 2016