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A256713 Number of integers m in [0..10^n-1] such that m has no digit in common with the last n digits of m^2. 2

%I #21 Apr 25 2015 11:53:49

%S 6,43,252,1262,5511,21152,74042,238684,725685,2104589,5895064,

%T 16057747,42805464,112213032,290287667,743123654,1886919028,4760112931

%N Number of integers m in [0..10^n-1] such that m has no digit in common with the last n digits of m^2.

%e For n=2:

%e m = 89, m^2 = 7921 and 21 has no digit in common with 89 so it is counted.

%e m = 91, m^2 = 8281 and 81 has digit 1 in common with 91 so it is not counted.

%e m = 1, m^2 = 1 has digit 1 in common so it is not counted.

%e For n=3:

%e m = 962, m^2 = 925444 and 444 has no digit in common with 962 so it is counted.

%e m = 963, m^2 = 927369 and 369 has all digits in common with 963 so it is not counted.

%Y Cf. A256714, A256715.

%K base,nonn,more

%O 1,1

%A _Lars Blomberg_, Apr 09 2015

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Last modified May 23 05:59 EDT 2024. Contains 372758 sequences. (Running on oeis4.)