# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a274768 Showing 1-1 of 1 %I A274768 #13 Nov 14 2016 11:09:25 %S A274768 1,2,3,5,7,8,9,17,26,43,46,60,175,221,396,617,1013,1630,2643,4273, %T A274768 6916,11189,18105,29294,47399,76693,124092,200785,324877,525662, %U A274768 850539,1376201,2226740,3602941,5829681,9432622,15262303,24694925,39957228,64652153,104609381 %N A274768 Lexicographically earliest increasing sequence a, b, c, ... such that every partial product (1-x^a), (1-x^a)(1-x^b), (1-x^a)(1-x^b)(1-x^c), ... has coefficients -1, 0, 1 only. %F A274768 Empirical g.f.: x*(1 + x - x^4 - 4*x^5 - 6*x^6 - 23*x^10 - 29*x^11 + 69*x^12 - 14*x^13) / (1 - x - x^2). - _Colin Barker_, Nov 13 2016 %e A274768 a(4) = 5 because (1-x), (1-x)(1-x^2), and (1-x)(1-x^2)(1-x^3)(1-x^5) all have coefficients -1, 0, 1, but (1-x)(1-x^2)(1-x^3)(1-x^4) doesn't. %K A274768 nonn %O A274768 1,2 %A A274768 _Jeffrey Shallit_, Jul 05 2016 %E A274768 a(19)-a(41) from _Jon E. Schoenfield_, Nov 12 2016 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE