

A185679


Number of digits in decimal expansion of n^2.


3



1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5
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OFFSET

0,5


LINKS

G. C. Greubel, Table of n, a(n) for n = 0..5000


FORMULA

a(n) = 1 + floor(log(10, n^2)) for n>0.


EXAMPLE

a(33)=4 since 33^2=1089 has 4 digits.


MATHEMATICA

Table[Length[IntegerDigits[n^2]], {n, 0, 100}]
Join[{1}, IntegerLength[Range[100]^2]] (* Harvey P. Dale, Sep 17 2019 *)


PROG

(PARI) concat([1], for(n=1, 50, print1(1 + floor(log(n^2)/log(10)), ", "))) \\ G. C. Greubel, Jul 10 2017


CROSSREFS

Cf. A055642.
Sequence in context: A320857 A211664 A182434 * A080342 A081604 A123119
Adjacent sequences: A185676 A185677 A185678 * A185680 A185681 A185682


KEYWORD

nonn,base


AUTHOR

Carmine Suriano, Feb 23 2011


STATUS

approved



