A259571 Numbers n whose square root contains at least one instance of n in the first n digits after the decimal point.

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

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