cp's OEIS Frontend

A213116 Number of binary arrays of length n+11 with fewer than 6 ones in any length 12 subsequence (=less than 50% duty cycle).

%I A213116 #6 Jun 02 2025 08:00:39
%S A213116 1586,2710,4748,8404,14946,26630,47448,84424,149836,264980,466456,
%T A213116 816488,1419532,2473160,4324006,7580078,13311610,23403052,41170036,
%U A213116 72441344,127454361,224172863,394092240,692400868,1215811672,2134163576
%N A213116 Number of binary arrays of length n+11 with fewer than 6 ones in any length 12 subsequence (=less than 50% duty cycle).
%C A213116 Column 6 of A213118
%H A213116 R. H. Hardin, <a href="/A213116/b213116.txt">Table of n, a(n) for n = 1..210</a>
%e A213116 Some solutions for n=3
%e A213116 ..1....0....1....0....1....1....0....1....1....0....0....0....0....0....1....1
%e A213116 ..0....1....0....0....1....0....1....0....0....0....1....0....1....0....0....1
%e A213116 ..0....0....0....0....0....1....0....1....1....0....0....1....0....0....0....0
%e A213116 ..0....1....0....0....0....0....0....0....0....0....0....0....1....0....0....0
%e A213116 ..1....0....1....1....0....0....0....0....0....0....1....0....1....0....1....0
%e A213116 ..0....0....0....0....1....1....0....1....0....0....0....0....1....1....0....1
%e A213116 ..0....0....0....1....0....0....1....0....0....0....0....0....0....0....0....0
%e A213116 ..1....1....0....1....0....0....1....1....0....0....1....0....0....1....0....0
%e A213116 ..0....0....0....0....1....0....0....0....0....1....0....1....0....0....1....0
%e A213116 ..0....0....1....0....0....0....0....0....0....1....0....1....0....0....1....1
%e A213116 ..1....1....0....1....0....1....1....1....0....0....1....1....1....1....0....1
%e A213116 ..1....1....1....0....1....0....1....0....0....1....1....0....0....1....0....0
%e A213116 ..1....0....0....0....0....0....0....0....0....1....0....1....0....0....0....0
%e A213116 ..0....0....1....1....1....0....1....1....1....0....0....0....1....1....1....1
%K A213116 nonn
%O A213116 1,1
%A A213116 _R. H. Hardin_ Jun 05 2012