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Search: id:A050614
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| A050614 |
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Products of distinct terms of A001566: a(n) = Product(L(2^(i+1))^bit(n,i),i = 0..[log2(n+1)]). |
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7
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| 1, 3, 7, 21, 47, 141, 329, 987, 2207, 6621, 15449, 46347, 103729, 311187, 726103, 2178309, 4870847, 14612541, 34095929, 102287787, 228929809, 686789427, 1602508663, 4807525989, 10749959329, 32249877987, 75249715303
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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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)
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LINKS
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A. Karttunen, On Pascal's Triangle Modulo 2 in Fibonacci Representation, Fibonacci Quarterly, 42 (2004), 38-46.
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FORMULA
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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
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MAPLE
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[seq(A050614(n), n=0..30)]; A050614 := n -> product('luc(2^(i+1))^bit_i(n, i)', 'i'=0..floor_log_2(n+1));
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CROSSREFS
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Bisection of A075149 and A050613 (see there for the other Maple procedures), subset of A062877. Cf. also A050615.
Sequence in context: A027151 A092203 A018760 this_sequence A036569 A018303 A098545
Adjacent sequences: A050611 A050612 A050613 this_sequence A050615 A050616 A050617
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KEYWORD
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nonn
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AUTHOR
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Antti Karttunen Dec 02 1999
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