A308467 The smallest positive n-digit 4th power.
1, 16, 256, 1296, 10000, 104976, 1048576, 10556001, 100000000, 1003875856, 10098039121, 100469346961, 1000000000000, 10016218555281, 100091400875761, 1000417426149376, 10000000000000000, 100004631514837921, 1000028258199628641
Offset: 1
Examples
a(1) = 1^4 = 1; a(2) = 2^4 = 16; 3^4 = 81 so no increase in number of digits; a(3) = 4^4 = 256.
Links
- Harvey P. Dale, Table of n, a(n) for n = 1..1000
Programs
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Magma
sol:=[]; for k in [0..20] do if k mod 4 eq 0 then sol[k+1]:=10^k; else sol[k+1]:=(Floor(10^(k/4)) +1)^4;end if; end for; sol; // Marius A. Burtea, Jun 13 2019
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Mathematica
Ceiling[Surd[10^Range[0,20],4]]^4 (* Harvey P. Dale, Jul 18 2025 *)
Formula
a(n) = ceiling(10^((n-1)/4))^4. - Charlie Neder, Jun 13 2019
a(n) = A018074(n-1)^4. - Michel Marcus, Jun 13 2019
Extensions
a(11)-a(19) from Charlie Neder, Jun 13 2019