
COMMENT

These numbers were central to the plot of the TVseries "Lost", episodes 18 and 201.
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 * 5 = 540  Joshua Walton (joshuawalton<nospam>(AT)hotmail.com), May 05 2006
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
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 "ShawBasho polynomial".  Ross La Haye (rlahaye(AT)new.rr.com), Feb 26 2007


FORMULA

a(n) = (1/40)(9n^5 + 125n^4  585n^3 + 1075n^2  446n + 160) for n = 0,1,2,3,4,5. The sequence continues 46,52,426,1364,3295...  Ross La Haye (rlahaye(AT)new.rr.com), Feb 26 2007
