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A301822 Number of nX7 0..1 arrays with every element equal to 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Mar 27 2018 10:13:04

%S 8,128,968,6653,47363,333335,2341241,16471479,115975709,816674776,

%T 5750906471,40498618037,285206498639,2008567595662,14145438133381,

%U 99620184969372,701582362197999,4940946394826023,34796990566402966

%N Number of nX7 0..1 arrays with every element equal to 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 7 of A301823.

%H R. H. Hardin, <a href="/A301822/b301822.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 30*a(n-1) -418*a(n-2) +3654*a(n-3) -22669*a(n-4) +106606*a(n-5) -395403*a(n-6) +1186422*a(n-7) -2928707*a(n-8) +6014938*a(n-9) -10354804*a(n-10) +15013356*a(n-11) -18384098*a(n-12) +19034892*a(n-13) -16660310*a(n-14) +12301356*a(n-15) -7624215*a(n-16) +3923202*a(n-17) -1635354*a(n-18) +519982*a(n-19) -103769*a(n-20) -2026*a(n-21) +11017*a(n-22) -4610*a(n-23) +1059*a(n-24) -138*a(n-25) +8*a(n-26) for n>28

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301823.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 27 2018

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Last modified July 3 16:42 EDT 2024. Contains 373982 sequences. (Running on oeis4.)