Least integer absent in EKG with n terms.

[zak seidov]

Dear SF gurus,

anyone may wish to check these
sequences in %S & %C,

thanks, zak

%N A1 Least integer absent in EKG (A064413) with n
terms.
%S A1
2,3,3,3,5,5,5,5,5,7,7,7,7,11,11,11,11,11,11,13,13,13,13,13,13,13,13,17,17,17,17,17,19,19,19,19,23,23,23,23,23,23,29,29,29,29,29,29,29,29,29,29,29,29,29,29,31,31,31,31,37,37,37,37,37,37,41,41,41,41,41,41,41,43,43,43,43,43,43,43,47,47,47,47,47,47,47,47,53,53,53,53,53,53,53,53,53,53,53,59,59,59,59,59,59,59,61,61,61,61,61,61,61,61,67,67,67,67,67,67,67,67,67,67,67,67,67,71,71,71,71,71,71,73,73,73,73,79,79,79,79,79,79,79,79,79,79,79,79,79,83,83,83,83,83,83,83,83,83,89,89,89,89,89,89,89,97,97,97,97,97,97,97,97,97,97,97,97,97,97,97,101,101,101,101,101,101,101,103,103,103,103,103,103,103,103,107,107,107,107,107,107,109,109,109,109,113,113,113,113,113,113,113,113,113,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,131,131,131,131,131,131,131,131,131,131,131,131,131,131,131,131,131,137,137,137,137,137,137,139,139,139,139,139,149,149,149,149,149,149,149,149,149,149,149,149,149,149,149,151,151,151,151
%e A1
a(1)=2 because the least integer absent in EKG with 1
term, {1},  is 2;
a(2..4)=3 because the least integer absent in EKG with
4 terms, {1,2,4,6}, is 3;
a(5..9)=5 because the least integer absent in EKG with
9 terms, {1,2,4,6,3,9,12,8,10}, is 5;
a(10..13)=7 because the least integer absent in EKG
with 15 terms, {1,2,4,6,3,9,12,8,10}, is 7.

%C A1
Lengthes of groups with the same term:
1,3,5,4,6,8,5,4,6,14,4,6,7,7,8,11,7,8,13,6,4,13,9,7,15,7,8,6,4,9,20,17,6,5,15,8,10,8,9,14,8,8,19,8,6,4,20,19,10,8,6,14,4,12,13,14,9,7,13,10,9,8,24,6,12,7,23,10,16,9,6,11,18,8,17,6,6,20,10,15,17,4,12,5,14,15,9,17,8,7,9,13,16,15,11,8,10,26,7,25,12,18,13,8,7,12,19,17,7,8,6
%Y A1 A064413
%O A1 1
%Y A1 Zak Seidov (zakseidov(AT)yahoo.com), May 11 2008


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