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%I #37 Feb 17 2021 07:35:39
%S 1,1,2,6,17,59,229,1029,5242,30040,191201,1338897,10228097,84647981,
%T 754437958,7204350870,73382899597,794189092567,9100736472725,
%U 110080467183393,1401588037032782,18737851806495008,262435512896178877
%N Boustrophedon transform (first version) of Fibonacci numbers 0,1,1,2,3,5,...
%C The array begins:
%C ................1.................
%C .............0..->..1.............
%C ..........2..<-.2...<-..1.........
%C .......1..->.3..->..5...->..6.....
%C ..17..<-.16..<-.13..<-..8...<-.2..
%C - _John Cerkan_, Jan 25 2017
%H John Cerkan, <a href="/A000687/b000687.txt">Table of n, a(n) for n = 0..482</a>
%H C. A. Church and M. Bicknell, <a href="https://www.mathstat.dal.ca/FQ/Scanned/11-3/church.pdf">Exponential generating functions for Fibonacci identities</a>, Fibonacci Quarterly, 11(3) (1973), 275-281.
%H 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 (<a href="http://neilsloane.com/doc/bous.txt">Abstract</a>, <a href="http://neilsloane.com/doc/bous.pdf">pdf</a>, <a href="http://neilsloane.com/doc/bous.ps">ps</a>).
%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%H <a href="/index/Bo#boustrophedon">Index entries for sequences related to boustrophedon transform</a>
%F 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
%p read(transforms);
%p with(combinat):
%p F:=fibonacci;
%p [seq(F(n),n=0..50)];
%p BOUS(%);
%Y Cf. A000045, A000738, A092073, A000744.
%K nonn
%O 0,3
%A _N. J. A. Sloane_ and _Simon Plouffe_
%E Entry revised by _N. J. A. Sloane_, Mar 15 2011
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