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A178043 n-th semiprime minus number of distinct transpositions of digits (zeros and units) in n-th semiprime written in base 2. 1

%I #11 Jun 22 2014 02:00:32

%S 1,3,3,4,10,14,11,12,15,16,18,19,15,18,24,31,29,36,49,42,43,56,44,34,

%T 39,42,47,50,51,66,70,72,73,88,71,104,94,97,112,100,101,116,101,77,78,

%U 71,72,87,89,90,99,102,131,105,96,99,107,108,155,129,159,138,131,132,147

%N n-th semiprime minus number of distinct transpositions of digits (zeros and units) in n-th semiprime written in base 2.

%H Vincenzo Librandi, <a href="/A178043/b178043.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n)=s-binomial((A000120(s)+A023416(s)), A000120(s)), where s=semiprime(n).

%t #-Length[Permutations[IntegerDigits[#,2]]]&/@Select[Range[ 2,300], PrimeOmega[ #] == 2&] (* _Harvey P. Dale_, Jun 21 2014 *)

%Y Cf. A001358, A122466.

%K nonn,base

%O 1,2

%A _Juri-Stepan Gerasimov_, May 17 2010

%E More terms from _R. J. Mathar_, May 28 2010

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Last modified April 16 03:06 EDT 2024. Contains 371696 sequences. (Running on oeis4.)