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Search: id:A062877
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| A062877 |
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Apart from the initial term (0), each a(n) is representable as a sum of distinct odd-indexed Fibonacci numbers. |
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+0
4
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| 0, 1, 2, 3, 5, 6, 7, 8, 13, 14, 15, 16, 18, 19, 20, 21, 34, 35, 36, 37, 39, 40, 41, 42, 47, 48, 49, 50, 52, 53, 54, 55, 89, 90, 91, 92, 94, 95, 96, 97, 102, 103, 104, 105, 107, 108, 109, 110, 123, 124, 125, 126, 128, 129, 130, 131, 136, 137, 138, 139, 141, 142, 143, 144
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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A. Karttunen, On Pascal's Triangle Modulo 2 in Fibonacci Representation, The Fibonacci Quarterly, Vol. 42, #1 (2004) pp. 38-46.
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EXAMPLE
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E.g. F_1 = 1, F_3 = 2, F_1 + F_3 = 3, F_5 = 5, F_5 + F_1 = 6, F_5 + F_3 = 7, F_5 + F_3 + F_1 = 8, F_7 = 13, ...
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MAPLE
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with(combinat); [seq(A062877(j), j=0..265)]; A062877 := n -> add((floor(n/(2^i)) mod 2)*fibonacci((2*i)+1), i=0..floor_log_2(n+1));
floor_log_2 := proc(n) local nn, i; nn := n; for i from -1 to n do if(0 = nn) then RETURN(i); fi; nn := floor(nn/2); od; end;
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CROSSREFS
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A062878 gives the positions of A050614(n) in this sequence. A062879 is bisection.
A036796(n) - 1.
Sequence in context: A006431 A028229 A104452 this_sequence A068526 A039086 A050025
Adjacent sequences: A062874 A062875 A062876 this_sequence A062878 A062879 A062880
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KEYWORD
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nonn
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AUTHOR
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Antti Karttunen Jun 26 2001
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