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

1,2

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

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

Example

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.

Mathematica

Ceiling[Surd[10^Range[0, 20], 4]]^4 (* Harvey P. Dale, Jul 18 2025 *)

Prog

(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

Crossrefs

Cf. A000583 (4th powers), A018074.

Sequence in context: A207750 A207126 A207947 * A223404 A263566 A208140

Adjacent sequences: A308464 A308465 A308466 * A308468 A308469 A308470

Keyword

nonn,base

Author

Akshat Kumar Agarwal, Jun 13 2019

Extensions

a(11)-a(19) from Charlie Neder, Jun 13 2019

Status

approved