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A302148 Number of nX6 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 02 2018 14:26:13

%S 1,6,34,255,2005,15999,128319,1030709,8283143,66576711,535145269,

%T 4301582207,34576983087,277937230517,2234120533079,17958355078007,

%U 144353239501301,1160343364887311,9327097456058015,74973279259758837

%N Number of nX6 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 6 of A302150.

%H R. H. Hardin, <a href="/A302148/b302148.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -44*a(n-2) +25*a(n-3) +71*a(n-4) -44*a(n-5) -36*a(n-6) +16*a(n-7) for n>9

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302150.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 02 2018

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Last modified May 8 03:50 EDT 2024. Contains 372317 sequences. (Running on oeis4.)