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%I #60 Jul 24 2023 10:29:32
%S 4,8,15,16,23,42
%N The Lost Numbers.
%C These numbers were central to the plot of the TV-series "Lost", episodes 18 and 201.
%C Another number in the sequence, perhaps the next one, is 540: the number of days which the team of two people who are addressed by the orientation film are to stay at station 3. 4+8+15+16+23+42 = 108 and 108 * 5 = 540. - Joshua Walton (joshuawalton<nospam>(AT)hotmail.com), May 05 2006
%C According to the show, 108 is not officially a part of the sequence, it just happens to be the sum of those numbers. - Ville Saalo (vsaalo(AT)iki.fi), Nov 19 2006
%C For n = 0,1,2,3,4,5 (1/120)(42n^5 - 305n^4 + 1100n^3 - 895n^2 + 1018n + 480) gives 4,12,35,89,213,511 -- the binomial transform of 4,8,15,16,23,42. The sequence continues 1194,2622,5346,10150,18093.... The polynomial (1/120)(42x^5 - 305x^4 + 1100x^3 - 895x^2 + 1018x + 480) is the "Shaw-Basho polynomial". - _Ross La Haye_, Feb 26 2007
%H Marcus Dicander, <a href="http://www.csc.kth.se/~dicander/lost.html">The Lost Numbers: 4 8 15 16 23 42</a>
%H Lostpedia contributors, <a href="http://www.lostpedia.com/index.php?title=The_Numbers&oldid=148826">"The Numbers", Lostpedia</a>
%H Doug Shaw, <a href="http://www.dougshaw.com/lost/">The Lost Sequence</a>
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Mythology_of_Lost">Mythology of Lost</a>
%F It is easy to fit formulas to the first six terms, in a million different ways, but none of them are of any interest (the seventh term can be chosen to be any number you wish). - _N. J. A. Sloane_, Oct 22 2017
%Y Cf. A122115, A130826.
%K nonn,unkn
%O 0,1
%A _Marcus Dicander_, Mar 04 2005
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