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A299650 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. 1

%I #4 Feb 15 2018 14:39:20

%S 8,128,1924,29408,448993,6856789,104711327,1599074414,24419877459,

%T 372922269561,5694992480926,86969703985622,1328136856258967,

%U 20282321638150114,309736582562177245,4730067508487376056

%N Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

%C Column 4 of A299654.

%H R. H. Hardin, <a href="/A299650/b299650.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) +31*a(n-2) +61*a(n-3) -43*a(n-4) -428*a(n-5) -273*a(n-6) +69*a(n-7) +545*a(n-8) +212*a(n-9) -84*a(n-10) -204*a(n-11) -32*a(n-12) +16*a(n-13) +24*a(n-14)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299654.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 15 2018

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Last modified April 25 11:16 EDT 2024. Contains 371967 sequences. (Running on oeis4.)