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A072583 Numbers n with property that there is no match when comparing the 0's and the 1's of n and the n-th prime in their binary representations. 1

%I #4 Mar 30 2012 18:50:24

%S 2,4,9,10,11,12,14,15,17,18,27,29,33,35,36,38,39,40,43,46,48,51,52,53,

%T 54,55,56,63,66,72,73,75,76,83,85,86,90,91,92,95,96,97,100,102,104,

%U 109,111,112,113,115,117,119,120,122,123,124,126,127,129,130,131,132,133

%N Numbers n with property that there is no match when comparing the 0's and the 1's of n and the n-th prime in their binary representations.

%C In other words, A000120(n)<>A000120(A000040(n)) and A000120(n)<>A023416(A000040(n)) and A023416(n)<>A000120(A000040(n)) and A023416(n)<>A023416(A000040(n)).

%C A000120(n)<>A014499(n) and A000120(n)<>A035103(n) and A023416(n)<>A014499(n) and A023416(n)<>A035103(n);

%C a(n)=A049084(A072584(n)).

%e n = 40 = '101000', A000040(40) = 173 = '10101101'.

%Y Cf. A072577, A072578, A072579, A071600.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Jun 23 2002

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Last modified July 13 04:46 EDT 2024. Contains 374267 sequences. (Running on oeis4.)