%I A141288
%S A141288 1,1,2,6,12,84,252,252,504,2520,17640,52920,52920,52920,52920,476280,
%T A141288 952560,952560,4762800,61916400,185749200,928746000,928746000,928746000,
%U A141288 928746000,4643730000,13931190000,13931190000,13931190000,13931190000
%N A141288 a(0)=1. a(n) = smallest positive multiple of a(n-1) such that a(n) contains 
               the binary representation of n at least once somewhere within its 
               binary representation.
%H A141288 Leroy Quet, <a href="http://www.prism-of-spirals.net/">Home Page</a> 
               (listed in lieu of email address)
%e A141288 6 in binary is 110. Checking the multiples of a(5)=84: 1*84 = 84 = 1010100 
               in binary. 110 does not occur. 2*84 = 168 = 10101000 in binary. 110 
               does not occur. But 3*84 = 252 = 11111100 in binary. 110 occurs in 
               this like so: 1111(110)0. So a(6) = 252.
%p A141288 contai := proc(a,n) verify(convert(n,base,2), convert(a,base,2),sublist) 
               ; end: A141288 := proc(n) option remember; local k ; if n= 0 then 
               1; else for k from 1 do if contai(k*procname(n-1),n) then RETURN( 
               k*procname(n-1) ) ; fi; od: fi; end: seq(A141288(n),n=0..40) ; [From 
               R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 19 2009]
%Y A141288 Sequence in context: A166470 A144144 A129085 this_sequence A062954 A038787 
               A144098
%Y A141288 Adjacent sequences: A141285 A141286 A141287 this_sequence A141289 A141290 
               A141291
%K A141288 base,nonn
%O A141288 0,3
%A A141288 Leroy Quet Aug 01 2008
%E A141288 Extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 19 2009