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A092073
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Boustrophedon transform (first version) of Fibonacci numbers 1, 1, 2, 3, 5, 8, ...
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4
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1, 2, 4, 10, 30, 101, 395, 1769, 9020, 51674, 328936, 2303323, 17595765, 145622477, 1297884212, 12393874652, 126242962310, 1366268975165, 15656289178423, 189374961382141, 2411196896699700, 32235328003898918, 451476237890591144, 6610630095177242675
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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LINKS
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J. Millar, N. J. A. Sloane and N. E. Young, A new operation on sequences: the Boustrophedon transform, J. Combin. Theory, 17A (1996), 44-54 (Abstract, pdf, ps).
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FORMULA
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E.g.f.: (sec(x) + tan(x))*((exp(a*x) - exp(b*x))/(a - b) + 1), where a = (1 + sqrt(5))/2 and b = (1 - sqrt(5))/2. - Petros Hadjicostas, Feb 16 2021
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MAPLE
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read transforms; with(combinat, fibonacci): a := [seq(fibonacci(i), i=1..50)]: BOUS(a);
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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