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A000687
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Boustrophedon transform (first version) of Fibonacci numbers 0,1,1,2,3,5,...
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4
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1, 1, 2, 6, 17, 59, 229, 1029, 5242, 30040, 191201, 1338897, 10228097, 84647981, 754437958, 7204350870, 73382899597, 794189092567, 9100736472725, 110080467183393, 1401588037032782, 18737851806495008, 262435512896178877
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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COMMENTS
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The array begins:
................1.................
.............0..->..1.............
..........2..<-.2...<-..1.........
.......1..->.3..->..5...->..6.....
..17..<-.16..<-.13..<-..8...<-.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) - 1)/a - (exp(b*x) - 1)/b)/(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):
F:=fibonacci;
[seq(F(n), n=0..50)];
BOUS(%);
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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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