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A073585 Square root of n has the same nonzero digit in each of the first 4 places to the right of the decimal point. 1
5168, 6543, 8080, 9779, 11640, 13663, 15848, 18195, 20704, 23375, 26208, 29203, 32360, 35679, 39160, 42803, 46608, 50575, 51731, 54704, 55906, 58995, 60243, 63448, 64742, 68063, 69403, 72840, 74226, 77779, 79211, 81542, 82880, 84358, 86763, 88143, 89667 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For each term given, the repeated digit is either 8 or 4.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..630

EXAMPLE

The square root of 5168 is 71.88880302...

MATHEMATICA

re[n_] := Union[First[RealDigits[Sqrt[n], 10, 4, -1]]]; t = {}; Do[If[Length[x = re[n]] == 1 && x != {0}, AppendTo[t, n]], {n, 90000}]; t (* Jayanta Basu, Jul 02 2013 *)

snd4Q[n_]:=Module[{rd=RealDigits[Sqrt[n], 10, 20], d4}, d4=Take[ Drop[ rd[[1]], rd[[2]]], 4]; d4[[1]]!=0&&Union[Differences[d4]]=={0}]; Select[ Range[100000], snd4Q] (* Harvey P. Dale, Jul 22 2016 *)

PROG

(PARI) isA073585(n)=if(issquare(n), 0, my(x=sqrt(n)); x-=floor(x); x=floor(10000*x); x%1111==0)

CROSSREFS

Sequence in context: A251679 A151628 A210400 * A249841 A247258 A107344

Adjacent sequences:  A073582 A073583 A073584 * A073586 A073587 A073588

KEYWORD

nonn,base

AUTHOR

Paul Lusch, Aug 28 2002

STATUS

approved

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Last modified May 25 19:19 EDT 2022. Contains 354071 sequences. (Running on oeis4.)