A068123 Smallest n-th power beginning with n copies of n.

1, 225, 33386248, 4444945756416, 5555570048168040707323549, 666666037293361155925587087597200530161, 7777777328906397868901558145293223515513205515156299

Offset

1,2

Comments

The b-file stops at a(22) because a(23) has 1060 digits. - Giovanni Resta, Jul 12 2016

Links

Ray Chandler, Table of n, a(n) for n = 1..22

Example

a(3) = 33386248 = 322^3 begins with 333.

Mathematica

a[n_] := Block[{t = Flatten@ Table[ IntegerDigits@n, {n}], m, v, h=0}, m = Length@ t; z = FromDigits@ t; While[ Take[ IntegerDigits[ (v = Ceiling[(z 10^h) ^ (1/n)])^n], m] != t, h++]; v^n]; Array[a, 22] (* Giovanni Resta, Jul 12 2016 *)

Crossrefs

Cf. A068124.

Sequence in context: A151653 A077729 A077737 * A013875 A043670 A296898

Adjacent sequences: A068120 A068121 A068122 * A068124 A068125 A068126

Keyword

base,easy,nonn

Author

Amarnath Murthy, Feb 21 2002

Extensions

Corrected and extended by David Wasserman, Dec 23 2002

a(8) = 415533397^8 has 69 digits. a(9) = 215443469^9 has 75.

Status

approved