The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A076493 Number of common (distinct) decimal digits of n and n^2. 8
 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,11 COMMENTS a(A029783(n)) = 0, a(A189056(n)) > 0; 0 <= a(n) <= 10, see example for first occurrences.  [Reinhard Zumkeller, Apr 16 2011] LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..10000 EXAMPLE a(2) = #{} = 0: 2^2 = 4; a(0) = #{0} = 1: 0^2 = 0; a(10) = #{0,1} = 2: 10^2 = 100; a(105) = #{0,1,5} = 3: 105^2 = 11025; a(1025) = #{0,1,2,5} = 4: 1025^2 = 1050625; a(10245) = #{0,1,2,4,5} = 5: 10245^2 = 104960025; a(102384) = #{0,1,2,3,4,8} = 6: 102384^2 = 10482483456; a(1023456789) = #{0 .. 9} = 10: 1023456789^2 = 1047463798950190521. MATHEMATICA Table[Length[Intersection[IntegerDigits[n], IntegerDigits[n^2]]], {n, 1, 100}] PROG (Haskell) import Data.List (intersect, nub) import Data.Function (on) a076493 n = length \$ (intersect `on` nub . show) n (n^2) -- Reinhard Zumkeller, Apr 16 2011 CROSSREFS Cf. A006880, A076489-A076491. Cf. A000290, A043537. Sequence in context: A281010 A316864 A037820 * A278907 A037910 A162781 Adjacent sequences:  A076490 A076491 A076492 * A076494 A076495 A076496 KEYWORD base,nonn AUTHOR Labos Elemer, Oct 21 2002 EXTENSIONS Initial 1 added and offset adjusted by Reinhard Zumkeller, Apr 16 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 2 09:22 EDT 2021. Contains 346422 sequences. (Running on oeis4.)