Search: id:A110924 Results 1-1 of 1 results found. %I A110924 %S A110924 1,2,4,5,7,11,13,17,19,23,25,29,31,37,3,9,35,15,21,41,27,33,43,39,45,47, %T A110924 49,53,55,59,61,67,51,57,65,63,69,71,73,77,79,83,85,89,91,97,75,81,95, %U A110924 87,93,101,99,103,105,107,109,113,115,119,121,127,111,117,125,123,129 %N A110924 a(1) = 1, a(2) = 2. a(n) is smallest positive integer not among earlier terms of the sequence where GCD(a(n),a(n-1)+a(n-2)) = 1. %C A110924 2 and 4 are the only even terms in the sequence. Is every odd positive integer in the sequence? %H A110924 Leroy Quet, Home Page (listed in lieu of email address) %e A110924 Of the positive integers not among the first 4 terms of the sequence, 7 is the smallest which is coprime to a(3) + a(4) = 4 + 5 = 9. %o A110924 (PARI) { u=[2,1]; c=3; s=u[1]+u[2]; m=Set(); m=setunion(m,[1]); m=setunion(m, [2]); print1(1,",",2); for(k=1,100, i=2;while(gcd(i,s)>1 || setsearch(m, i)!=0,i++); u[(c%2)+1] = i; c++; s=u[1]+u[2]; m=setunion(m,[i]); print1(i,",")) } (Klasen) %Y A110924 Sequence in context: A056527 A147991 A033160 this_sequence A028289 A039673 A097581 %Y A110924 Adjacent sequences: A110921 A110922 A110923 this_sequence A110925 A110926 A110927 %K A110924 nonn %O A110924 1,2 %A A110924 Leroy Quet Sep 23 2005 %E A110924 More terms from Lambert Klasen (lambert.klasen(AT)gmx.net), Oct 25 2005 Search completed in 0.001 seconds