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Search: id:A049415
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A049415 Number of squares (of positive integers) with n digits. +0
5
3, 6, 22, 68, 217, 683, 2163, 6837, 21623, 68377, 216228, 683772, 2162278, 6837722, 21622777, 68377223, 216227767, 683772233, 2162277661, 6837722339, 21622776602, 68377223398, 216227766017, 683772233983, 2162277660169 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n)=ceil(sqrt(10^n))-ceil(sqrt(10^(n-1)))

EXAMPLE

22 squares (100=10^2, 121=11^2, ...., 961=31^2) have 3 digits, hence a(3)=22

CROSSREFS

A049415(n) = A017936(n+1)-A017936(n) = A049416(n+1)-A049416(n). Cf. A062940.

Sequence in context: A096662 A054297 A079514 this_sequence A029848 A090910 A013213

Adjacent sequences: A049412 A049413 A049414 this_sequence A049416 A049417 A049418

KEYWORD

nonn,easy,base

AUTHOR

Ulrich Schimke (ulrschimke(AT)aol.com)

EXTENSIONS

More terms from Dean Hickerson (dean(AT)math.ucdavis.edu), Jul 10, 2001

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Last modified July 8 18:40 EDT 2008. Contains 141013 sequences.


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