login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A105194 Number of distinct prime factors of the concatenation of two consecutive odd numbers. 0

%I #8 Nov 21 2013 12:48:40

%S 1,2,1,2,2,2,2,2,3,1,2,1,1,4,2,1,3,1,2,2,2,2,2,2,2,3,1,1,3,1,1,2,2,2,

%T 3,3,2,3,2,2,3,2,2,3,2,1,2,2,2,2,1,2,2,2,1,3,1,2,4,2,2,2,2,2,3,2,3,2,

%U 3,1,2,1,1,3,2,1,2,1,3,3,1,2,3,3,1,4,2,2,3,1,1,2,3,3,2,1,2,4,4,2,2,1,2,3,1

%N Number of distinct prime factors of the concatenation of two consecutive odd numbers.

%C Each odd number is used only once, i.e., although (1,3) and (5,7) are both treated as two consecutive odd numbers, (3,5) and (7,9) are not. [From Harvey P. Dale, Jul 13 2011]

%e a(1) =omega(13) = 1; a(2) = omega(57) = 2; a(3) = omega(911) = 1.

%t f[n_]:=PrimeNu[FromDigits[Flatten[IntegerDigits/@{First[n], Last[n]}]]]; f/@Partition[Range[1,421,2],2] (* _Harvey P. Dale_, Jul 13 2011 *)

%o (PARI) a(n)=omega(eval(Str(4*n-3,4*n-1)))

%K nonn,base

%O 1,2

%A _Parthasarathy Nambi_, Apr 11 2005

%E Extended, corrected, and edited by _Charles R Greathouse IV_, Apr 27 2010

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 18 21:51 EDT 2024. Contains 371781 sequences. (Running on oeis4.)