Search: id:A050614
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%I A050614
%S A050614 1,3,7,21,47,141,329,987,2207,6621,15449,46347,103729,311187,726103,
%T A050614 2178309,4870847,14612541,34095929,102287787,228929809,686789427,
%U A050614 1602508663,4807525989,10749959329,32249877987,75249715303
%N A050614 Products of distinct terms of A001566: a(n) = Product(L(2^(i+1))^bit(n,
               i),i = 0..[log2(n+1)]).
%C A050614 Each subset a[0..(2^k)-1] gives all the divisors of F(2^(k+1)) up to 
               k=4 (F_32) and after that a subset of such divisors. E.g. the terms 
               a(0)-a(7) are the divisors of F_16 = 987 (A018760)
%H A050614 A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/A048757/A048757.htm">
               On Pascal's Triangle Modulo 2 in Fibonacci Representation</a>, Fibonacci 
               Quarterly, 42 (2004), 38-46.
%F A050614 a(n)=Sum_{k, 0<=k<=n}A127872(n,k)*Fibonacci(2*k+1), see A000045 and A001519. 
               - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 30 2007
%p A050614 [seq(A050614(n),n=0..30)]; A050614 := n -> product('luc(2^(i+1))^bit_i(n,
               i)','i'=0..floor_log_2(n+1));
%Y A050614 Bisection of A075149 and A050613 (see there for the other Maple procedures), 
               subset of A062877. Cf. also A050615.
%Y A050614 Sequence in context: A027151 A092203 A018760 this_sequence A036569 A018303 
               A098545
%Y A050614 Adjacent sequences: A050611 A050612 A050613 this_sequence A050615 A050616 
               A050617
%K A050614 nonn
%O A050614 0,2
%A A050614 Antti Karttunen Dec 02 1999

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