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A275406 Number of 7Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,1) and new values introduced in order 0..2. 1

%I #4 Jul 26 2016 14:58:01

%S 48,260,2645,27373,283169,2940064,30551417,317215507,3295389070,

%T 34229946538,355557100121,3693307572143,38363725298482,

%U 398498904233689,4139351037446210,42997002237357820,446625826073952314

%N Number of 7Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,1) and new values introduced in order 0..2.

%C Row 7 of A275401.

%H R. H. Hardin, <a href="/A275406/b275406.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +51*a(n-2) +337*a(n-3) +695*a(n-4) -1387*a(n-5) -17115*a(n-6) -7374*a(n-7) -6423*a(n-8) +162272*a(n-9) -77464*a(n-10) +195500*a(n-11) -502027*a(n-12) +476993*a(n-13) -89619*a(n-14) +690641*a(n-15) -729684*a(n-16) +108400*a(n-17) -61140*a(n-18) +17920*a(n-19) +2032*a(n-20) +1088*a(n-21) for n>22

%e Some solutions for n=4

%e ..0..0..0..0. .0..0..1..1. .0..0..1..1. .0..1..2..0. .0..0..1..1

%e ..1..2..2..2. .2..2..0..0. .1..2..2..0. .0..0..1..2. .2..0..0..1

%e ..1..1..1..2. .1..2..2..2. .1..1..2..0. .2..2..0..1. .2..1..2..2

%e ..2..0..0..1. .0..1..1..1. .0..0..1..1. .1..1..2..0. .0..1..1..2

%e ..2..2..0..0. .2..0..0..1. .2..2..0..1. .0..1..1..2. .0..0..0..1

%e ..1..1..1..2. .1..2..2..0. .1..1..2..0. .2..2..0..1. .2..2..0..0

%e ..0..0..1..2. .1..1..2..2. .0..1..1..2. .1..2..0..0. .1..2..2..2

%Y Cf. A275401.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 26 2016

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Last modified May 26 04:31 EDT 2024. Contains 372807 sequences. (Running on oeis4.)