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A222435 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..5 array extended with zeros and convolved with 1,1,1 1

%I #4 Feb 20 2013 09:48:47

%S 2,3,4,5,9,14,21,35,56,89,145,234,377,611,988,1597,2584,4180,6762,

%T 10939,17697,28630,46316,74930,121220,196107,317259,513256,830336,

%U 1343304,2173174,3515723,5687677,9201426,14885909,24082169,38959721,63028369

%N Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..5 array extended with zeros and convolved with 1,1,1

%C Column 5 of A222438

%H R. H. Hardin, <a href="/A222435/b222435.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-2) +a(n-4) -a(n-6) +2*a(n-7) -a(n-8) +a(n-10) -a(n-12) +2*a(n-13) -a(n-14) +2*a(n-16) -3*a(n-17) +2*a(n-18) -a(n-19) -a(n-21) +2*a(n-22) -3*a(n-23) +2*a(n-24) -a(n-25) -a(n-27) +2*a(n-28) -3*a(n-29) +2*a(n-30) -a(n-31) for n>65

%e Some solutions for n=7, one extended zero followed by filtered positions

%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

%e ..1....0....1....0....0....0....0....1....0....1....0....1....1....0....0....1

%e ..0....1....0....0....0....0....1....0....1....0....0....0....0....0....1....0

%e ..0....0....1....0....0....1....0....1....0....0....0....0....0....0....0....0

%e ..0....0....0....0....0....0....1....0....0....1....1....0....0....0....0....0

%e ..0....0....0....0....0....0....0....1....0....0....0....0....1....0....1....0

%e ..0....1....0....0....1....1....0....0....0....0....0....1....0....0....0....0

%e ..1....0....0....0....0....0....0....0....1....0....0....0....0....1....0....0

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 20 2013

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Last modified May 4 09:59 EDT 2024. Contains 372238 sequences. (Running on oeis4.)