A048353 a(n)^2 is the smallest square containing exactly n 8's.
9, 83, 298, 1378, 8878, 29641, 298141, 623609, 9321378, 28072917, 94121667, 329877083, 4341484641, 29478276559, 62360956378, 151284113141, 3436394751609, 9428037062872, 22065558748622, 29770520349641, 942808510191167, 9427024391927083, 22335822988837615, 94270265131105359, 298125621993127083
Offset: 1
Links
- Eric Weisstein's World of Mathematics, Square Number
Programs
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Mathematica
a[n_] := Module[{i = 1}, While[DigitCount[i^2][[8]] != n, i++ ]; i]; (* Sam Handler (sam_5_5_5_0(AT)yahoo.com), Aug 22 2006 *)
Extensions
a(13)-a(16) from Jon E. Schoenfield, Jan 24 2009
a(17)-a(20) from Giovanni Resta, Jul 27 2018
a(21)-a(25) from Max Alekseyev, Mar 06 2025