0,1

These numbers were central to the plot of the TV-series "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 "Shaw-Basho polynomial". - Ross La Haye (rlahaye(AT)new.rr.com), Feb 26 2007

Dicander, M., "The Lost Numbers" The Lost Numbers: 4 8 15 16 23 42

Lostpedia contributors, "The Numbers", Lostpedia

Wikipedia contributors, "Mythology of Lost", Wikipedia, The Free Encyclopedia

Shaw, Doug, The Lost Sequence

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

Sequence in context: A112312 A076343 A130826 this_sequence A136403 A071422 A113902

Adjacent sequences: A104098 A104099 A104100 this_sequence A104102 A104103 A104104

nonn,unkn

Marcus Dicander (dicander(AT)kth.se), Mar 04 2005

a(7) from Kraig B Helberg (bethplease(AT)gmail.com), Dec 24 2005

1,1

G.f.: x*(-3+2*x+5x^2+7*x^3+8*x^4)/(1-x-x^3-x^5). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 20 2006

-3+4+15= 16

-1+8+16= 23

4+15+23= 42

a[1]:=-3: a[2]:=-1: a[3]:=4: a[4]:=8: a[5]:=15: for n from 6 to 45 do a[n]:=a[n-1]+a[n-3]+a[n-5] od: seq(a[n], n=1..45); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 23 2006

This sequence includes the "Lost" numbers, 4 8 15 16 23 42, A104101 [From Rick Powers (powersr(AT)westerntc.edu), Sep 18 2009]

Sequence in context: A050059 A025121 A025097 this_sequence A049916 A094166 A108621

Adjacent sequences: A122112 A122113 A122114 this_sequence A122116 A122117 A122118

sign

Jian Tang (jian.tang(AT)gmail.com), Oct 19 2006

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 23 2006

1,1

The first six terms in the sequence are those from the T.V. show Lost.

M. E. Andersson, Das Flaviussche Sieb, Acta Arith., 85 (1998), 301-307.

V. Gardiner, R. Lazarus, N. Metropolis and S. Ulam, On certain sequences of integers defined by sieves, Math. Mag., 29 (1955), 117-119.

a(8)=200 because the 8th term in A056526 is 14. Half of that is 7. The smallest number with seven divisors is 64 and 64*3 + 8 = 200.

Cf. A000960, A056526, A104101.

Sequence in context: A124743 A112312 A076343 this_sequence A104101 A136403 A071422

Adjacent sequences: A130823 A130824 A130825 this_sequence A130827 A130828 A130829

dumb,nonn

Stephen Casey (hexomino(AT)gmail.com), Jul 17 2007