login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A093052 Exponent of 2 in 6^n - 2^n. 2

%I

%S 0,2,5,4,8,6,9,8,13,10,13,12,16,14,17,16,22,18,21,20,24,22,25,24,29,

%T 26,29,28,32,30,33,32,39,34,37,36,40,38,41,40,45,42,45,44,48,46,49,48,

%U 54,50,53,52,56,54,57,56,61,58,61,60,64,62,65,64,72,66,69,68,72

%N Exponent of 2 in 6^n - 2^n.

%F Recurrence: a(2n) = a(n) + [(n+1)/2] + 1, a(2n+1) = 2n+2.

%F a(n) = n + A007814(A024023(n)) = n + A090740(n). - _Reinhard Zumkeller_, Mar 27 2004

%t Join[{0},Table[IntegerExponent[6^n-2^n,2],{n,70}]] (* _Harvey P. Dale_, Mar 08 2012 *)

%o (PARI) a(n)=if(n<1,0,if(n%2==0,a(n/2)+2*floor((n+2)/4)+1,n+1)

%Y a(n-1) is the exponent of 2 in A009168(n), A012394(n), A088991(n), A009083(n), A012036(n), A012092(n), A012395(n), A012460(n), A012465(n), A012466(n), A012467(n), (A049294(n)-1)/3.

%Y Cf. A093050, A093051.

%K nonn

%O 0,2

%A _Ralf Stephan_, Mar 16 2004

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 23 23:51 EDT 2019. Contains 328379 sequences. (Running on oeis4.)