%I A061462
%S A061462 1,1,2,1,1,4,1,1,4,1,1,2,1,1,2,1,1,4,1,1,4,1,1,2,1,1,2,1,1,4,1,1,4,1,1,
               2,
%T A061462 1,1,2,1,1,4,1,1,4,1,1,2,1,1,2,1,1,4,1,1,4,1,1,2,1,1,2,1,1,4,1,1,4,1,1,
               2,
%U A061462 1,1,2,1,1,4,1,1,4,1,1,2,1,1,2,1,1,4,1,1,4,1,1,2,1,1,2,1,1,4,1,1,4,1,1,
               2
%N A061462 The exact power of 2 that divides the n-th Bell number (A000110). Has 
               period 12.
%C A061462 { Bell(n) mod 8 } is periodic with period 24, the period being (1 1 2 
               5 7 4 3 5 4 3 7 2 5 5 2 1 3 4 7 1 4 7 3 2). Hence the highest power 
               of 2 dividing a Bell number is 4. - David W. Wilson (davidwwilson(AT)comcast.net), 
               Jun 29, 2001
%D A061462 W. F. Lunnon, P. A. B. Pleasants and N. M. Stephens, Arithmetic properties 
               of Bell numbers to a composite modulus I, Acta Arithmetica 35 (1979) 
               1-16.
%F A061462 a(n)=(1/396)*{43*(n mod 12)-23*[(n+1) mod 12]+10*[(n+2) mod 12]+109*[(n+3) 
               mod 12]-89*[(n+4) mod 12]+10*[(n+5) mod 12]+109*[(n+6) mod 12]-89*[(n+7) 
               mod 12]+10*[(n+8) mod 12]+43*[(n+9) mod 12]-23*[(n+10) mod 12]+10*[(n+11) 
               mod 12]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Oct 22 2008]
%Y A061462 Cf. A000110.
%Y A061462 Sequence in context: A008307 A099238 A141450 this_sequence A122578 A005131 
               A105477
%Y A061462 Adjacent sequences: A061459 A061460 A061461 this_sequence A061463 A061464 
               A061465
%K A061462 nonn
%O A061462 0,3
%A A061462 Ahmed Fares (ahmedfares(AT)my-deja.com), Jun 10 2001