A003076 n-th digit after decimal point of square root of n.

0, 0, 1, 2, 0, 6, 9, 3, 2, 0, 1, 5, 7, 9, 4, 6, 0, 4, 6, 2, 1, 8, 6, 3, 8, 0, 0, 4, 2, 4, 8, 5, 9, 9, 0, 4, 0, 0, 3, 2, 1, 2, 4, 3, 9, 8, 9, 0, 1, 0, 4, 3, 4, 3, 5, 7, 0, 8, 4, 3, 7, 7, 5, 7, 0, 6, 2, 6, 0, 5, 7, 0, 0, 3, 6, 4, 3, 0, 2, 5, 9, 0, 3, 8, 8, 8, 4, 0, 1, 8, 5, 4, 7, 3, 9, 6, 0, 7, 0, 2, 0, 6, 6, 5, 8

Offset

0,4

Comments

Regarded as a decimal fraction, 0.01206932015794604621863800... is likely to be an irrational number.

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

Example

Sqrt(1)=1.0000000... -> the first decimal digit is 0, Sqrt(2)=1.4142135... -> the 2nd decimal digit is 1, sqrt(3)=1.7320508... -> the 3rd decimal digit is 2, Sqrt(4)=2.0000000... -> the 4th decimal digit is 0, sqrt(5)=2.2360679... -> the 5th decimal digit is 6, sqrt(6)=2.4494897... -> the 6th decimal digit is 9, etc.

Mathematica

Join[{0}, Array[ Function[ n, RealDigits[ N[ Sqrt[ n ], n+6 ] ]// (#[ [ 1, #[ [ 2 ] ]+n ] ])& ], 110 ]]
Table[ Floor[ Mod[10^n*Sqrt[n], 10]], {n, 0, 104}] (* Robert G. Wilson v, Jun 17 2002 *)

Crossrefs

Cf. A071901.

Sequence in context: A058498 A358167 A348189 * A175478 A011123 A087464

Adjacent sequences: A003073 A003074 A003075 * A003077 A003078 A003079

Keyword

nonn,base

Author

N. J. A. Sloane

Extensions

Extension and program from Olivier Gérard, Oct 15 1997

Status

approved