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A173906 Total number of digits of the squares of all n-digit numbers. 0
16, 338, 5183, 69837, 878377, 10583772, 123837722, 1418377223, 15983772233, 177837722339, 1958377223398, 21383772233983, 231837722339831, 2498377223398316, 26783772233983162, 285837722339831620, 3038377223398316206, 32183772233983162066, 339837722339831620668, 3578377223398316206680 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Sequence inspired by Claudio Meller's email to [seqfan] 07:01 a.m., Nov 26 2010, subject: About a problem of Bernardo Recamán Santos found in http://www.mathpuzzle.com/

LINKS

Table of n, a(n) for n=1..20.

FORMULA

As n -> infinity, a(n)/(n*10^(n+floor(log(log(n))+1)) -> 9/50.

MATHEMATICA

f[n_] := Block[{br = 1+ Floor[10^(n-1)*Sqrt@10]}, (2n-1)(br-10^(n-1)) + 2n(10^n-br)]; Array[f, 20]

CROSSREFS

Cf. A000290.

Sequence in context: A058722 A318013 A320399 * A227102 A221577 A136269

Adjacent sequences: A173903 A173904 A173905 * A173907 A173908 A173909

KEYWORD

nonn,base

AUTHOR

Robert G. Wilson v, Nov 26 2010

STATUS

approved

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Last modified December 7 10:26 EST 2022. Contains 358656 sequences. (Running on oeis4.)