

A259571


Numbers n whose square root contains at least one instance of n in the first n digits after the decimal point.


1



3, 7, 8, 17, 23, 27, 38, 39, 43, 48, 58, 65, 66, 67, 68, 69, 74, 75, 76, 77, 78, 83, 84, 88, 89, 91, 92, 93, 98, 99, 105, 110, 113, 140, 156, 157, 170, 182, 186, 188, 191, 194, 205, 212, 215, 218, 222, 227, 229, 234, 235, 241, 246, 247, 252, 267, 287, 293, 294
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OFFSET

1,1


COMMENTS

Numbers beginning with a nine are most likely to have this property, and numbers beginning with a one are least likely. No squares have it.


LINKS

Andreas Boe, Table of n, a(n) for n = 1..551


EXAMPLE

sqrt(17) = 4.12310562561766054... The first 17 digits after the decimal point contain "17".


MATHEMATICA

Select[Range@ 301, ! StringFreeQ[ToString@ FromDigits@ First@ RealDigits@ N[Sqrt@ #, #], ToString@ #] &] // Rest (* Michael De Vlieger, Jul 02 2015 *)


CROSSREFS

Sequence in context: A136136 A057548 A122227 * A291212 A125570 A268111
Adjacent sequences: A259568 A259569 A259570 * A259572 A259573 A259574


KEYWORD

nonn,base


AUTHOR

Andreas Boe, Jun 30 2015


STATUS

approved



