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Number of distinct prime factors of 135...(2n-1) (concatenation of n odd numbers).
0

%I #9 Jun 15 2019 20:18:16

%S 0,1,2,2,2,3,2,5,3,1,4,3,3,2,3,1,5,5,7,4,5,5,4,5,5,2,4,5,4,6,5,3,7,1,

%T 4,4,3,4,3,6,5,7,5,7,8,4,7,7,1,6

%N Number of distinct prime factors of 135...(2n-1) (concatenation of n odd numbers).

%C Interestingly, 135791113151719 is prime.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ConsecutiveNumberSequences.html">Consecutive Number sequences</a>

%e The number of distinct prime factors of 13 is 1 (a prime) - the second term in the sequence.

%e The number of distinct prime factors of 135 is 2 - the third term in the sequence.

%e The number of distinct prime factors of 1357 is 2 - the fourth term in the sequence.

%t Join[{0},Table[PrimeNu[FromDigits[Flatten[IntegerDigits/@Range[1,2n+1,2]]]],{n,50}]] (* _Harvey P. Dale_, Jun 15 2019 *)

%Y Cf. A001221, A048847.

%K nonn,base

%O 1,3

%A _Parthasarathy Nambi_, Apr 16 2005

%E Corrected and extended by _Franklin T. Adams-Watters_, Sep 01 2006

%E Edited by _N. J. A. Sloane_, May 21 2008 at the suggestion of R. J. Mathar